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Finding the Fourth Proportional to 1,254.98, 1,730.91 and 1,113.38

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Solution

The fourth proportional to 1,254.98, 1,730.91 and 1,113.38 is: 1,535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.98 : 1,730.91 = 1,113.38 : x
  2. Step 2: Convert to fraction form
    1,254.98/1,730.91 = 1,113.38/x
  3. Step 3: Cross multiply
    1,254.98x = 1,730.91 × 1,113.38
  4. Step 4: Simplify right side
    1,254.98x = 1,927,151.92
  5. Step 5: Solve for x
    x = 1,927,151.92/1,254.98
  6. Step 6: Final answer
    x = 1,535.61

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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.