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Finding the Fourth Proportional to 1,013.12, 1,397.76 and 620.24

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Solution

The fourth proportional to 1,013.12, 1,397.76 and 620.24 is: 855.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.12 : 1,397.76 = 620.24 : x
  2. Step 2: Convert to fraction form
    1,013.12/1,397.76 = 620.24/x
  3. Step 3: Cross multiply
    1,013.12x = 1,397.76 × 620.24
  4. Step 4: Simplify right side
    1,013.12x = 866,946.66
  5. Step 5: Solve for x
    x = 866,946.66/1,013.12
  6. Step 6: Final answer
    x = 855.72

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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.