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Finding the Fourth Proportional to 1,475.29, 2,035.98 and 886.33

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Solution

The fourth proportional to 1,475.29, 2,035.98 and 886.33 is: 1,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.29 : 2,035.98 = 886.33 : x
  2. Step 2: Convert to fraction form
    1,475.29/2,035.98 = 886.33/x
  3. Step 3: Cross multiply
    1,475.29x = 2,035.98 × 886.33
  4. Step 4: Simplify right side
    1,475.29x = 1,804,550.15
  5. Step 5: Solve for x
    x = 1,804,550.15/1,475.29
  6. Step 6: Final answer
    x = 1,223.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.