Home / 1,531.83-2,299.27-710.29

Finding the Fourth Proportional to 1,531.83, 2,299.27 and 710.29

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Solution

The fourth proportional to 1,531.83, 2,299.27 and 710.29 is: 1,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.83 : 2,299.27 = 710.29 : x
  2. Step 2: Convert to fraction form
    1,531.83/2,299.27 = 710.29/x
  3. Step 3: Cross multiply
    1,531.83x = 2,299.27 × 710.29
  4. Step 4: Simplify right side
    1,531.83x = 1,633,148.49
  5. Step 5: Solve for x
    x = 1,633,148.49/1,531.83
  6. Step 6: Final answer
    x = 1,066.14

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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.