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Finding the Fourth Proportional to 1,013.35, 1,396.17 and 760.21

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Solution

The fourth proportional to 1,013.35, 1,396.17 and 760.21 is: 1,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.35 : 1,396.17 = 760.21 : x
  2. Step 2: Convert to fraction form
    1,013.35/1,396.17 = 760.21/x
  3. Step 3: Cross multiply
    1,013.35x = 1,396.17 × 760.21
  4. Step 4: Simplify right side
    1,013.35x = 1,061,382.40
  5. Step 5: Solve for x
    x = 1,061,382.40/1,013.35
  6. Step 6: Final answer
    x = 1,047.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.