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Finding the Fourth Proportional to 921.55, 1,382.50 and 592.82

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Solution

The fourth proportional to 921.55, 1,382.50 and 592.82 is: 889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.55 : 1,382.50 = 592.82 : x
  2. Step 2: Convert to fraction form
    921.55/1,382.50 = 592.82/x
  3. Step 3: Cross multiply
    921.55x = 1,382.50 × 592.82
  4. Step 4: Simplify right side
    921.55x = 819,565.26
  5. Step 5: Solve for x
    x = 819,565.26/921.55
  6. Step 6: Final answer
    x = 889.34

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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.