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Finding the Fourth Proportional to 1,148.43, 1,721.91 and 782.10

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Solution

The fourth proportional to 1,148.43, 1,721.91 and 782.10 is: 1,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.43 : 1,721.91 = 782.10 : x
  2. Step 2: Convert to fraction form
    1,148.43/1,721.91 = 782.10/x
  3. Step 3: Cross multiply
    1,148.43x = 1,721.91 × 782.10
  4. Step 4: Simplify right side
    1,148.43x = 1,346,705.81
  5. Step 5: Solve for x
    x = 1,346,705.81/1,148.43
  6. Step 6: Final answer
    x = 1,172.65

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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.