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Finding the Fourth Proportional to 1,111.52, 1,530.46 and 952.96

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Solution

The fourth proportional to 1,111.52, 1,530.46 and 952.96 is: 1,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.52 : 1,530.46 = 952.96 : x
  2. Step 2: Convert to fraction form
    1,111.52/1,530.46 = 952.96/x
  3. Step 3: Cross multiply
    1,111.52x = 1,530.46 × 952.96
  4. Step 4: Simplify right side
    1,111.52x = 1,458,467.16
  5. Step 5: Solve for x
    x = 1,458,467.16/1,111.52
  6. Step 6: Final answer
    x = 1,312.14

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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.