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Finding the Fourth Proportional to 1,307.20, 1,960.80 and 382.72

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Solution

The fourth proportional to 1,307.20, 1,960.80 and 382.72 is: 574.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.20 : 1,960.80 = 382.72 : x
  2. Step 2: Convert to fraction form
    1,307.20/1,960.80 = 382.72/x
  3. Step 3: Cross multiply
    1,307.20x = 1,960.80 × 382.72
  4. Step 4: Simplify right side
    1,307.20x = 750,437.38
  5. Step 5: Solve for x
    x = 750,437.38/1,307.20
  6. Step 6: Final answer
    x = 574.08

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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.