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Finding the Fourth Proportional to 841.37, 1,160.46 and 592.76

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Solution

The fourth proportional to 841.37, 1,160.46 and 592.76 is: 817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.37 : 1,160.46 = 592.76 : x
  2. Step 2: Convert to fraction form
    841.37/1,160.46 = 592.76/x
  3. Step 3: Cross multiply
    841.37x = 1,160.46 × 592.76
  4. Step 4: Simplify right side
    841.37x = 687,874.27
  5. Step 5: Solve for x
    x = 687,874.27/841.37
  6. Step 6: Final answer
    x = 817.56

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