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Finding the Fourth Proportional to 1,036.11, 1,554.17 and 256.11

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Solution

The fourth proportional to 1,036.11, 1,554.17 and 256.11 is: 384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.11 : 1,554.17 = 256.11 : x
  2. Step 2: Convert to fraction form
    1,036.11/1,554.17 = 256.11/x
  3. Step 3: Cross multiply
    1,036.11x = 1,554.17 × 256.11
  4. Step 4: Simplify right side
    1,036.11x = 398,038.48
  5. Step 5: Solve for x
    x = 398,038.48/1,036.11
  6. Step 6: Final answer
    x = 384.17

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.