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Finding the Fourth Proportional to 1,407.15, 2,108.84 and 584.46

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Solution

The fourth proportional to 1,407.15, 2,108.84 and 584.46 is: 875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.15 : 2,108.84 = 584.46 : x
  2. Step 2: Convert to fraction form
    1,407.15/2,108.84 = 584.46/x
  3. Step 3: Cross multiply
    1,407.15x = 2,108.84 × 584.46
  4. Step 4: Simplify right side
    1,407.15x = 1,232,529.70
  5. Step 5: Solve for x
    x = 1,232,529.70/1,407.15
  6. Step 6: Final answer
    x = 875.90

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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.