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Finding the Fourth Proportional to 924.57, 1,276.12 and 609.89

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Solution

The fourth proportional to 924.57, 1,276.12 and 609.89 is: 841.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.57 : 1,276.12 = 609.89 : x
  2. Step 2: Convert to fraction form
    924.57/1,276.12 = 609.89/x
  3. Step 3: Cross multiply
    924.57x = 1,276.12 × 609.89
  4. Step 4: Simplify right side
    924.57x = 778,293.59
  5. Step 5: Solve for x
    x = 778,293.59/924.57
  6. Step 6: Final answer
    x = 841.79

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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.