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Finding the Fourth Proportional to 746.38, 1,030.08 and 514

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Solution

The fourth proportional to 746.38, 1,030.08 and 514 is: 709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.38 : 1,030.08 = 514 : x
  2. Step 2: Convert to fraction form
    746.38/1,030.08 = 514/x
  3. Step 3: Cross multiply
    746.38x = 1,030.08 × 514
  4. Step 4: Simplify right side
    746.38x = 529,461.12
  5. Step 5: Solve for x
    x = 529,461.12/746.38
  6. Step 6: Final answer
    x = 709.37

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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.