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Finding the Fourth Proportional to 924.50, 1,386.92 and 558.86

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Solution

The fourth proportional to 924.50, 1,386.92 and 558.86 is: 838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.50 : 1,386.92 = 558.86 : x
  2. Step 2: Convert to fraction form
    924.50/1,386.92 = 558.86/x
  3. Step 3: Cross multiply
    924.50x = 1,386.92 × 558.86
  4. Step 4: Simplify right side
    924.50x = 775,087.18
  5. Step 5: Solve for x
    x = 775,087.18/924.50
  6. Step 6: Final answer
    x = 838.39

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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.