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Finding the Fourth Proportional to 1,051.53, 1,452.16 and 866.85

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Solution

The fourth proportional to 1,051.53, 1,452.16 and 866.85 is: 1,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.53 : 1,452.16 = 866.85 : x
  2. Step 2: Convert to fraction form
    1,051.53/1,452.16 = 866.85/x
  3. Step 3: Cross multiply
    1,051.53x = 1,452.16 × 866.85
  4. Step 4: Simplify right side
    1,051.53x = 1,258,804.90
  5. Step 5: Solve for x
    x = 1,258,804.90/1,051.53
  6. Step 6: Final answer
    x = 1,197.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.