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Finding the Fourth Proportional to 1,588.56, 2,382.82 and 710.83

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Solution

The fourth proportional to 1,588.56, 2,382.82 and 710.83 is: 1,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.56 : 2,382.82 = 710.83 : x
  2. Step 2: Convert to fraction form
    1,588.56/2,382.82 = 710.83/x
  3. Step 3: Cross multiply
    1,588.56x = 2,382.82 × 710.83
  4. Step 4: Simplify right side
    1,588.56x = 1,693,779.94
  5. Step 5: Solve for x
    x = 1,693,779.94/1,588.56
  6. Step 6: Final answer
    x = 1,066.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.