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Finding the Fourth Proportional to 1,307.72, 1,961.88 and 442.03

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Solution

The fourth proportional to 1,307.72, 1,961.88 and 442.03 is: 663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.72 : 1,961.88 = 442.03 : x
  2. Step 2: Convert to fraction form
    1,307.72/1,961.88 = 442.03/x
  3. Step 3: Cross multiply
    1,307.72x = 1,961.88 × 442.03
  4. Step 4: Simplify right side
    1,307.72x = 867,213.10
  5. Step 5: Solve for x
    x = 867,213.10/1,307.72
  6. Step 6: Final answer
    x = 663.15

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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.