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Finding the Fourth Proportional to 1,127.32, 1,687.99 and 906.90

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Solution

The fourth proportional to 1,127.32, 1,687.99 and 906.90 is: 1,357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.32 : 1,687.99 = 906.90 : x
  2. Step 2: Convert to fraction form
    1,127.32/1,687.99 = 906.90/x
  3. Step 3: Cross multiply
    1,127.32x = 1,687.99 × 906.90
  4. Step 4: Simplify right side
    1,127.32x = 1,530,831.23
  5. Step 5: Solve for x
    x = 1,530,831.23/1,127.32
  6. Step 6: Final answer
    x = 1,357.94

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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.