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Finding the Fourth Proportional to 1,159.92, 1,740.78 and 430.02

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Solution

The fourth proportional to 1,159.92, 1,740.78 and 430.02 is: 645.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.92 : 1,740.78 = 430.02 : x
  2. Step 2: Convert to fraction form
    1,159.92/1,740.78 = 430.02/x
  3. Step 3: Cross multiply
    1,159.92x = 1,740.78 × 430.02
  4. Step 4: Simplify right side
    1,159.92x = 748,570.22
  5. Step 5: Solve for x
    x = 748,570.22/1,159.92
  6. Step 6: Final answer
    x = 645.36

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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.