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Finding the Fourth Proportional to 1,168.47, 1,752.77 and 474.78

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Solution

The fourth proportional to 1,168.47, 1,752.77 and 474.78 is: 712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.47 : 1,752.77 = 474.78 : x
  2. Step 2: Convert to fraction form
    1,168.47/1,752.77 = 474.78/x
  3. Step 3: Cross multiply
    1,168.47x = 1,752.77 × 474.78
  4. Step 4: Simplify right side
    1,168.47x = 832,186.12
  5. Step 5: Solve for x
    x = 832,186.12/1,168.47
  6. Step 6: Final answer
    x = 712.20

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