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Finding the Fourth Proportional to 1,036.39, 1,554.40 and 343.07

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Solution

The fourth proportional to 1,036.39, 1,554.40 and 343.07 is: 514.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.39 : 1,554.40 = 343.07 : x
  2. Step 2: Convert to fraction form
    1,036.39/1,554.40 = 343.07/x
  3. Step 3: Cross multiply
    1,036.39x = 1,554.40 × 343.07
  4. Step 4: Simplify right side
    1,036.39x = 533,258.52
  5. Step 5: Solve for x
    x = 533,258.52/1,036.39
  6. Step 6: Final answer
    x = 514.53

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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.