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Finding the Fourth Proportional to 1,023.57, 1,534.50 and 698.49

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Solution

The fourth proportional to 1,023.57, 1,534.50 and 698.49 is: 1,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.57 : 1,534.50 = 698.49 : x
  2. Step 2: Convert to fraction form
    1,023.57/1,534.50 = 698.49/x
  3. Step 3: Cross multiply
    1,023.57x = 1,534.50 × 698.49
  4. Step 4: Simplify right side
    1,023.57x = 1,071,832.91
  5. Step 5: Solve for x
    x = 1,071,832.91/1,023.57
  6. Step 6: Final answer
    x = 1,047.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.