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Finding the Fourth Proportional to 1,456.46, 2,184.80 and 590.66

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Solution

The fourth proportional to 1,456.46, 2,184.80 and 590.66 is: 886.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.46 : 2,184.80 = 590.66 : x
  2. Step 2: Convert to fraction form
    1,456.46/2,184.80 = 590.66/x
  3. Step 3: Cross multiply
    1,456.46x = 2,184.80 × 590.66
  4. Step 4: Simplify right side
    1,456.46x = 1,290,464.52
  5. Step 5: Solve for x
    x = 1,290,464.52/1,456.46
  6. Step 6: Final answer
    x = 886.03

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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.