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Finding the Fourth Proportional to 710.38, 1,059.87 and 606.48

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Solution

The fourth proportional to 710.38, 1,059.87 and 606.48 is: 904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.38 : 1,059.87 = 606.48 : x
  2. Step 2: Convert to fraction form
    710.38/1,059.87 = 606.48/x
  3. Step 3: Cross multiply
    710.38x = 1,059.87 × 606.48
  4. Step 4: Simplify right side
    710.38x = 642,789.96
  5. Step 5: Solve for x
    x = 642,789.96/710.38
  6. Step 6: Final answer
    x = 904.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.