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Finding the Fourth Proportional to 1,307.52, 1,961.28 and 442.44

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Solution

The fourth proportional to 1,307.52, 1,961.28 and 442.44 is: 663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.52 : 1,961.28 = 442.44 : x
  2. Step 2: Convert to fraction form
    1,307.52/1,961.28 = 442.44/x
  3. Step 3: Cross multiply
    1,307.52x = 1,961.28 × 442.44
  4. Step 4: Simplify right side
    1,307.52x = 867,748.72
  5. Step 5: Solve for x
    x = 867,748.72/1,307.52
  6. Step 6: Final answer
    x = 663.66

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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.