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Finding the Fourth Proportional to 924.04, 1,274.70 and 613

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Solution

The fourth proportional to 924.04, 1,274.70 and 613 is: 845.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.04 : 1,274.70 = 613 : x
  2. Step 2: Convert to fraction form
    924.04/1,274.70 = 613/x
  3. Step 3: Cross multiply
    924.04x = 1,274.70 × 613
  4. Step 4: Simplify right side
    924.04x = 781,391.10
  5. Step 5: Solve for x
    x = 781,391.10/924.04
  6. Step 6: Final answer
    x = 845.62

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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.