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Finding the Fourth Proportional to 1,002.30, 1,497.36 and 997.44

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Solution

The fourth proportional to 1,002.30, 1,497.36 and 997.44 is: 1,490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.30 : 1,497.36 = 997.44 : x
  2. Step 2: Convert to fraction form
    1,002.30/1,497.36 = 997.44/x
  3. Step 3: Cross multiply
    1,002.30x = 1,497.36 × 997.44
  4. Step 4: Simplify right side
    1,002.30x = 1,493,526.76
  5. Step 5: Solve for x
    x = 1,493,526.76/1,002.30
  6. Step 6: Final answer
    x = 1,490.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.