Home / 1,056.29-1,585.28-748.44

Finding the Fourth Proportional to 1,056.29, 1,585.28 and 748.44

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Solution

The fourth proportional to 1,056.29, 1,585.28 and 748.44 is: 1,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.29 : 1,585.28 = 748.44 : x
  2. Step 2: Convert to fraction form
    1,056.29/1,585.28 = 748.44/x
  3. Step 3: Cross multiply
    1,056.29x = 1,585.28 × 748.44
  4. Step 4: Simplify right side
    1,056.29x = 1,186,488.83
  5. Step 5: Solve for x
    x = 1,186,488.83/1,056.29
  6. Step 6: Final answer
    x = 1,123.27

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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.