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Finding the Fourth Proportional to 1,710.29, 2,565.03 and 614.63

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Solution

The fourth proportional to 1,710.29, 2,565.03 and 614.63 is: 921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.29 : 2,565.03 = 614.63 : x
  2. Step 2: Convert to fraction form
    1,710.29/2,565.03 = 614.63/x
  3. Step 3: Cross multiply
    1,710.29x = 2,565.03 × 614.63
  4. Step 4: Simplify right side
    1,710.29x = 1,576,544.39
  5. Step 5: Solve for x
    x = 1,576,544.39/1,710.29
  6. Step 6: Final answer
    x = 921.80

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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.