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Finding the Fourth Proportional to 1,710.70, 2,565.33 and 614.46

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Solution

The fourth proportional to 1,710.70, 2,565.33 and 614.46 is: 921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.70 : 2,565.33 = 614.46 : x
  2. Step 2: Convert to fraction form
    1,710.70/2,565.33 = 614.46/x
  3. Step 3: Cross multiply
    1,710.70x = 2,565.33 × 614.46
  4. Step 4: Simplify right side
    1,710.70x = 1,576,292.67
  5. Step 5: Solve for x
    x = 1,576,292.67/1,710.70
  6. Step 6: Final answer
    x = 921.43

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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.