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Finding the Fourth Proportional to 1,114.55, 1,670.91 and 870.33

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Solution

The fourth proportional to 1,114.55, 1,670.91 and 870.33 is: 1,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.55 : 1,670.91 = 870.33 : x
  2. Step 2: Convert to fraction form
    1,114.55/1,670.91 = 870.33/x
  3. Step 3: Cross multiply
    1,114.55x = 1,670.91 × 870.33
  4. Step 4: Simplify right side
    1,114.55x = 1,454,243.10
  5. Step 5: Solve for x
    x = 1,454,243.10/1,114.55
  6. Step 6: Final answer
    x = 1,304.78

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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.