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Finding the Fourth Proportional to 1,228.34, 1,694.76 and 756.08

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Solution

The fourth proportional to 1,228.34, 1,694.76 and 756.08 is: 1,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.34 : 1,694.76 = 756.08 : x
  2. Step 2: Convert to fraction form
    1,228.34/1,694.76 = 756.08/x
  3. Step 3: Cross multiply
    1,228.34x = 1,694.76 × 756.08
  4. Step 4: Simplify right side
    1,228.34x = 1,281,374.14
  5. Step 5: Solve for x
    x = 1,281,374.14/1,228.34
  6. Step 6: Final answer
    x = 1,043.18

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.