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Finding the Fourth Proportional to 1,023.16, 1,534.04 and 495.77

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Solution

The fourth proportional to 1,023.16, 1,534.04 and 495.77 is: 743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.16 : 1,534.04 = 495.77 : x
  2. Step 2: Convert to fraction form
    1,023.16/1,534.04 = 495.77/x
  3. Step 3: Cross multiply
    1,023.16x = 1,534.04 × 495.77
  4. Step 4: Simplify right side
    1,023.16x = 760,531.35
  5. Step 5: Solve for x
    x = 760,531.35/1,023.16
  6. Step 6: Final answer
    x = 743.32

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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.