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Finding the Fourth Proportional to 1,508.61, 2,262.66 and 584.00

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Solution

The fourth proportional to 1,508.61, 2,262.66 and 584.00 is: 875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.61 : 2,262.66 = 584.00 : x
  2. Step 2: Convert to fraction form
    1,508.61/2,262.66 = 584.00/x
  3. Step 3: Cross multiply
    1,508.61x = 2,262.66 × 584.00
  4. Step 4: Simplify right side
    1,508.61x = 1,321,382.13
  5. Step 5: Solve for x
    x = 1,321,382.13/1,508.61
  6. Step 6: Final answer
    x = 875.89

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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.