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Finding the Fourth Proportional to 906.61, 1,250.76 and 592.15

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Solution

The fourth proportional to 906.61, 1,250.76 and 592.15 is: 816.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.61 : 1,250.76 = 592.15 : x
  2. Step 2: Convert to fraction form
    906.61/1,250.76 = 592.15/x
  3. Step 3: Cross multiply
    906.61x = 1,250.76 × 592.15
  4. Step 4: Simplify right side
    906.61x = 740,637.53
  5. Step 5: Solve for x
    x = 740,637.53/906.61
  6. Step 6: Final answer
    x = 816.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.