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Finding the Fourth Proportional to 1,032.35, 1,424.16 and 678.86

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Solution

The fourth proportional to 1,032.35, 1,424.16 and 678.86 is: 936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.35 : 1,424.16 = 678.86 : x
  2. Step 2: Convert to fraction form
    1,032.35/1,424.16 = 678.86/x
  3. Step 3: Cross multiply
    1,032.35x = 1,424.16 × 678.86
  4. Step 4: Simplify right side
    1,032.35x = 966,805.26
  5. Step 5: Solve for x
    x = 966,805.26/1,032.35
  6. Step 6: Final answer
    x = 936.51

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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.