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Finding the Fourth Proportional to 1,013.55, 1,397.84 and 699.32

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Solution

The fourth proportional to 1,013.55, 1,397.84 and 699.32 is: 964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.55 : 1,397.84 = 699.32 : x
  2. Step 2: Convert to fraction form
    1,013.55/1,397.84 = 699.32/x
  3. Step 3: Cross multiply
    1,013.55x = 1,397.84 × 699.32
  4. Step 4: Simplify right side
    1,013.55x = 977,530.48
  5. Step 5: Solve for x
    x = 977,530.48/1,013.55
  6. Step 6: Final answer
    x = 964.46

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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.