Home / 1,588.30-2,382.05-710.31

Finding the Fourth Proportional to 1,588.30, 2,382.05 and 710.31

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Solution

The fourth proportional to 1,588.30, 2,382.05 and 710.31 is: 1,065.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.30 : 2,382.05 = 710.31 : x
  2. Step 2: Convert to fraction form
    1,588.30/2,382.05 = 710.31/x
  3. Step 3: Cross multiply
    1,588.30x = 2,382.05 × 710.31
  4. Step 4: Simplify right side
    1,588.30x = 1,692,004.64
  5. Step 5: Solve for x
    x = 1,692,004.64/1,588.30
  6. Step 6: Final answer
    x = 1,065.29

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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.