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Finding the Fourth Proportional to 1,307.76, 1,962.48 and 538.24

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Solution

The fourth proportional to 1,307.76, 1,962.48 and 538.24 is: 807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.76 : 1,962.48 = 538.24 : x
  2. Step 2: Convert to fraction form
    1,307.76/1,962.48 = 538.24/x
  3. Step 3: Cross multiply
    1,307.76x = 1,962.48 × 538.24
  4. Step 4: Simplify right side
    1,307.76x = 1,056,285.24
  5. Step 5: Solve for x
    x = 1,056,285.24/1,307.76
  6. Step 6: Final answer
    x = 807.71

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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.