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Finding the Fourth Proportional to 1,307.16, 1,961.48 and 691.43

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Solution

The fourth proportional to 1,307.16, 1,961.48 and 691.43 is: 1,037.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.16 : 1,961.48 = 691.43 : x
  2. Step 2: Convert to fraction form
    1,307.16/1,961.48 = 691.43/x
  3. Step 3: Cross multiply
    1,307.16x = 1,961.48 × 691.43
  4. Step 4: Simplify right side
    1,307.16x = 1,356,218.04
  5. Step 5: Solve for x
    x = 1,356,218.04/1,307.16
  6. Step 6: Final answer
    x = 1,037.53

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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.