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Finding the Fourth Proportional to 1,148.19, 1,721.67 and 417.47

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Solution

The fourth proportional to 1,148.19, 1,721.67 and 417.47 is: 625.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.19 : 1,721.67 = 417.47 : x
  2. Step 2: Convert to fraction form
    1,148.19/1,721.67 = 417.47/x
  3. Step 3: Cross multiply
    1,148.19x = 1,721.67 × 417.47
  4. Step 4: Simplify right side
    1,148.19x = 718,736.97
  5. Step 5: Solve for x
    x = 718,736.97/1,148.19
  6. Step 6: Final answer
    x = 625.97

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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.