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Finding the Fourth Proportional to 1,265.71, 1,897.29 and 524.30

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Solution

The fourth proportional to 1,265.71, 1,897.29 and 524.30 is: 785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.71 : 1,897.29 = 524.30 : x
  2. Step 2: Convert to fraction form
    1,265.71/1,897.29 = 524.30/x
  3. Step 3: Cross multiply
    1,265.71x = 1,897.29 × 524.30
  4. Step 4: Simplify right side
    1,265.71x = 994,746.53
  5. Step 5: Solve for x
    x = 994,746.53/1,265.71
  6. Step 6: Final answer
    x = 785.92

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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.