Home / 1,588.08-2,382.12-710.13

Finding the Fourth Proportional to 1,588.08, 2,382.12 and 710.13

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Solution

The fourth proportional to 1,588.08, 2,382.12 and 710.13 is: 1,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.08 : 2,382.12 = 710.13 : x
  2. Step 2: Convert to fraction form
    1,588.08/2,382.12 = 710.13/x
  3. Step 3: Cross multiply
    1,588.08x = 2,382.12 × 710.13
  4. Step 4: Simplify right side
    1,588.08x = 1,691,614.88
  5. Step 5: Solve for x
    x = 1,691,614.88/1,588.08
  6. Step 6: Final answer
    x = 1,065.20

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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.