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Finding the Fourth Proportional to 1,135.20, 1,566.51 and 637.89

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Solution

The fourth proportional to 1,135.20, 1,566.51 and 637.89 is: 880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.20 : 1,566.51 = 637.89 : x
  2. Step 2: Convert to fraction form
    1,135.20/1,566.51 = 637.89/x
  3. Step 3: Cross multiply
    1,135.20x = 1,566.51 × 637.89
  4. Step 4: Simplify right side
    1,135.20x = 999,261.06
  5. Step 5: Solve for x
    x = 999,261.06/1,135.20
  6. Step 6: Final answer
    x = 880.25

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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.