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Finding the Fourth Proportional to 871.65, 1,307.52 and 829.62

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Solution

The fourth proportional to 871.65, 1,307.52 and 829.62 is: 1,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.65 : 1,307.52 = 829.62 : x
  2. Step 2: Convert to fraction form
    871.65/1,307.52 = 829.62/x
  3. Step 3: Cross multiply
    871.65x = 1,307.52 × 829.62
  4. Step 4: Simplify right side
    871.65x = 1,084,744.74
  5. Step 5: Solve for x
    x = 1,084,744.74/871.65
  6. Step 6: Final answer
    x = 1,244.47

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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.