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Finding the Fourth Proportional to 1,254.11, 1,730.68 and 730.13

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Solution

The fourth proportional to 1,254.11, 1,730.68 and 730.13 is: 1,007.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.11 : 1,730.68 = 730.13 : x
  2. Step 2: Convert to fraction form
    1,254.11/1,730.68 = 730.13/x
  3. Step 3: Cross multiply
    1,254.11x = 1,730.68 × 730.13
  4. Step 4: Simplify right side
    1,254.11x = 1,263,612.74
  5. Step 5: Solve for x
    x = 1,263,612.74/1,254.11
  6. Step 6: Final answer
    x = 1,007.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.