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Finding the Fourth Proportional to 1,110.02, 1,531.86 and 637.85

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Solution

The fourth proportional to 1,110.02, 1,531.86 and 637.85 is: 880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.02 : 1,531.86 = 637.85 : x
  2. Step 2: Convert to fraction form
    1,110.02/1,531.86 = 637.85/x
  3. Step 3: Cross multiply
    1,110.02x = 1,531.86 × 637.85
  4. Step 4: Simplify right side
    1,110.02x = 977,089.24
  5. Step 5: Solve for x
    x = 977,089.24/1,110.02
  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.