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Finding the Fourth Proportional to 1,146.53, 1,590.86 and 1,100.25

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Solution

The fourth proportional to 1,146.53, 1,590.86 and 1,100.25 is: 1,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.53 : 1,590.86 = 1,100.25 : x
  2. Step 2: Convert to fraction form
    1,146.53/1,590.86 = 1,100.25/x
  3. Step 3: Cross multiply
    1,146.53x = 1,590.86 × 1,100.25
  4. Step 4: Simplify right side
    1,146.53x = 1,750,338.21
  5. Step 5: Solve for x
    x = 1,750,338.21/1,146.53
  6. Step 6: Final answer
    x = 1,526.65

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.