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Finding the Fourth Proportional to 1,109.78, 1,530.52 and 888.65

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Solution

The fourth proportional to 1,109.78, 1,530.52 and 888.65 is: 1,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.78 : 1,530.52 = 888.65 : x
  2. Step 2: Convert to fraction form
    1,109.78/1,530.52 = 888.65/x
  3. Step 3: Cross multiply
    1,109.78x = 1,530.52 × 888.65
  4. Step 4: Simplify right side
    1,109.78x = 1,360,084.50
  5. Step 5: Solve for x
    x = 1,360,084.50/1,109.78
  6. Step 6: Final answer
    x = 1,225.55

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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.