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Finding the Fourth Proportional to 1,405.32, 2,108.48 and 583.66

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Solution

The fourth proportional to 1,405.32, 2,108.48 and 583.66 is: 875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.32 : 2,108.48 = 583.66 : x
  2. Step 2: Convert to fraction form
    1,405.32/2,108.48 = 583.66/x
  3. Step 3: Cross multiply
    1,405.32x = 2,108.48 × 583.66
  4. Step 4: Simplify right side
    1,405.32x = 1,230,635.44
  5. Step 5: Solve for x
    x = 1,230,635.44/1,405.32
  6. Step 6: Final answer
    x = 875.70

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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.