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Finding the Fourth Proportional to 921.90, 1,381.02 and 592.05

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Solution

The fourth proportional to 921.90, 1,381.02 and 592.05 is: 886.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.90 : 1,381.02 = 592.05 : x
  2. Step 2: Convert to fraction form
    921.90/1,381.02 = 592.05/x
  3. Step 3: Cross multiply
    921.90x = 1,381.02 × 592.05
  4. Step 4: Simplify right side
    921.90x = 817,632.89
  5. Step 5: Solve for x
    x = 817,632.89/921.90
  6. Step 6: Final answer
    x = 886.90

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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.