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Finding the Fourth Proportional to 1,307.32, 1,960.98 and 691.48

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Solution

The fourth proportional to 1,307.32, 1,960.98 and 691.48 is: 1,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.32 : 1,960.98 = 691.48 : x
  2. Step 2: Convert to fraction form
    1,307.32/1,960.98 = 691.48/x
  3. Step 3: Cross multiply
    1,307.32x = 1,960.98 × 691.48
  4. Step 4: Simplify right side
    1,307.32x = 1,355,978.45
  5. Step 5: Solve for x
    x = 1,355,978.45/1,307.32
  6. Step 6: Final answer
    x = 1,037.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.