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Finding the Fourth Proportional to 1,307.48, 1,960.57 and 648.59

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Solution

The fourth proportional to 1,307.48, 1,960.57 and 648.59 is: 972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.48 : 1,960.57 = 648.59 : x
  2. Step 2: Convert to fraction form
    1,307.48/1,960.57 = 648.59/x
  3. Step 3: Cross multiply
    1,307.48x = 1,960.57 × 648.59
  4. Step 4: Simplify right side
    1,307.48x = 1,271,606.10
  5. Step 5: Solve for x
    x = 1,271,606.10/1,307.48
  6. Step 6: Final answer
    x = 972.56

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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.