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Finding the Fourth Proportional to 1,062.16, 1,593.24 and 846.16

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Solution

The fourth proportional to 1,062.16, 1,593.24 and 846.16 is: 1,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.16 : 1,593.24 = 846.16 : x
  2. Step 2: Convert to fraction form
    1,062.16/1,593.24 = 846.16/x
  3. Step 3: Cross multiply
    1,062.16x = 1,593.24 × 846.16
  4. Step 4: Simplify right side
    1,062.16x = 1,348,135.96
  5. Step 5: Solve for x
    x = 1,348,135.96/1,062.16
  6. Step 6: Final answer
    x = 1,269.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.