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Finding the Fourth Proportional to 1,032.16, 1,424.64 and 812.64

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Solution

The fourth proportional to 1,032.16, 1,424.64 and 812.64 is: 1,121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.16 : 1,424.64 = 812.64 : x
  2. Step 2: Convert to fraction form
    1,032.16/1,424.64 = 812.64/x
  3. Step 3: Cross multiply
    1,032.16x = 1,424.64 × 812.64
  4. Step 4: Simplify right side
    1,032.16x = 1,157,719.45
  5. Step 5: Solve for x
    x = 1,157,719.45/1,032.16
  6. Step 6: Final answer
    x = 1,121.65

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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.