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Finding the Fourth Proportional to 1,032.80, 1,424.29 and 678.10

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Solution

The fourth proportional to 1,032.80, 1,424.29 and 678.10 is: 935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.80 : 1,424.29 = 678.10 : x
  2. Step 2: Convert to fraction form
    1,032.80/1,424.29 = 678.10/x
  3. Step 3: Cross multiply
    1,032.80x = 1,424.29 × 678.10
  4. Step 4: Simplify right side
    1,032.80x = 965,800.96
  5. Step 5: Solve for x
    x = 965,800.96/1,032.80
  6. Step 6: Final answer
    x = 935.13

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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.