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Finding the Fourth Proportional to 1,001.64, 1,381.58 and 870.42

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Solution

The fourth proportional to 1,001.64, 1,381.58 and 870.42 is: 1,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.64 : 1,381.58 = 870.42 : x
  2. Step 2: Convert to fraction form
    1,001.64/1,381.58 = 870.42/x
  3. Step 3: Cross multiply
    1,001.64x = 1,381.58 × 870.42
  4. Step 4: Simplify right side
    1,001.64x = 1,202,554.86
  5. Step 5: Solve for x
    x = 1,202,554.86/1,001.64
  6. Step 6: Final answer
    x = 1,200.59

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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.