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Finding the Fourth Proportional to 1,135.33, 1,566.72 and 631.18

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Solution

The fourth proportional to 1,135.33, 1,566.72 and 631.18 is: 871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.33 : 1,566.72 = 631.18 : x
  2. Step 2: Convert to fraction form
    1,135.33/1,566.72 = 631.18/x
  3. Step 3: Cross multiply
    1,135.33x = 1,566.72 × 631.18
  4. Step 4: Simplify right side
    1,135.33x = 988,886.25
  5. Step 5: Solve for x
    x = 988,886.25/1,135.33
  6. Step 6: Final answer
    x = 871.01

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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.