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Finding the Fourth Proportional to 1,013.02, 1,397.44 and 663.70

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Solution

The fourth proportional to 1,013.02, 1,397.44 and 663.70 is: 915.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.02 : 1,397.44 = 663.70 : x
  2. Step 2: Convert to fraction form
    1,013.02/1,397.44 = 663.70/x
  3. Step 3: Cross multiply
    1,013.02x = 1,397.44 × 663.70
  4. Step 4: Simplify right side
    1,013.02x = 927,480.93
  5. Step 5: Solve for x
    x = 927,480.93/1,013.02
  6. Step 6: Final answer
    x = 915.56

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