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Finding the Fourth Proportional to 1,165.88, 1,735.06 and 1,127

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Solution

The fourth proportional to 1,165.88, 1,735.06 and 1,127 is: 1,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.88 : 1,735.06 = 1,127 : x
  2. Step 2: Convert to fraction form
    1,165.88/1,735.06 = 1,127/x
  3. Step 3: Cross multiply
    1,165.88x = 1,735.06 × 1,127
  4. Step 4: Simplify right side
    1,165.88x = 1,955,412.62
  5. Step 5: Solve for x
    x = 1,955,412.62/1,165.88
  6. Step 6: Final answer
    x = 1,677.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.