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Finding the Fourth Proportional to 1,307.64, 1,960.96 and 527.38

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Solution

The fourth proportional to 1,307.64, 1,960.96 and 527.38 is: 790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.64 : 1,960.96 = 527.38 : x
  2. Step 2: Convert to fraction form
    1,307.64/1,960.96 = 527.38/x
  3. Step 3: Cross multiply
    1,307.64x = 1,960.96 × 527.38
  4. Step 4: Simplify right side
    1,307.64x = 1,034,164.86
  5. Step 5: Solve for x
    x = 1,034,164.86/1,307.64
  6. Step 6: Final answer
    x = 790.86

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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.