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Finding the Fourth Proportional to 873.97, 1,307.84 and 642.31

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Solution

The fourth proportional to 873.97, 1,307.84 and 642.31 is: 961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.97 : 1,307.84 = 642.31 : x
  2. Step 2: Convert to fraction form
    873.97/1,307.84 = 642.31/x
  3. Step 3: Cross multiply
    873.97x = 1,307.84 × 642.31
  4. Step 4: Simplify right side
    873.97x = 840,038.71
  5. Step 5: Solve for x
    x = 840,038.71/873.97
  6. Step 6: Final answer
    x = 961.18

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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.