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Finding the Fourth Proportional to 1,265.24, 1,897.86 and 400.16

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Solution

The fourth proportional to 1,265.24, 1,897.86 and 400.16 is: 600.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.24 : 1,897.86 = 400.16 : x
  2. Step 2: Convert to fraction form
    1,265.24/1,897.86 = 400.16/x
  3. Step 3: Cross multiply
    1,265.24x = 1,897.86 × 400.16
  4. Step 4: Simplify right side
    1,265.24x = 759,438.17
  5. Step 5: Solve for x
    x = 759,438.17/1,265.24
  6. Step 6: Final answer
    x = 600.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.