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Finding the Fourth Proportional to 1,227.12, 1,693.52 and 761.46

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Solution

The fourth proportional to 1,227.12, 1,693.52 and 761.46 is: 1,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.12 : 1,693.52 = 761.46 : x
  2. Step 2: Convert to fraction form
    1,227.12/1,693.52 = 761.46/x
  3. Step 3: Cross multiply
    1,227.12x = 1,693.52 × 761.46
  4. Step 4: Simplify right side
    1,227.12x = 1,289,547.74
  5. Step 5: Solve for x
    x = 1,289,547.74/1,227.12
  6. Step 6: Final answer
    x = 1,050.87

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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.