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Finding the Fourth Proportional to 1,032.14, 1,424.06 and 612.32

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Solution

The fourth proportional to 1,032.14, 1,424.06 and 612.32 is: 844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.14 : 1,424.06 = 612.32 : x
  2. Step 2: Convert to fraction form
    1,032.14/1,424.06 = 612.32/x
  3. Step 3: Cross multiply
    1,032.14x = 1,424.06 × 612.32
  4. Step 4: Simplify right side
    1,032.14x = 871,980.42
  5. Step 5: Solve for x
    x = 871,980.42/1,032.14
  6. Step 6: Final answer
    x = 844.83

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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.