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Finding the Fourth Proportional to 1,032.84, 1,426.56 and 700.68

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Solution

The fourth proportional to 1,032.84, 1,426.56 and 700.68 is: 967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.84 : 1,426.56 = 700.68 : x
  2. Step 2: Convert to fraction form
    1,032.84/1,426.56 = 700.68/x
  3. Step 3: Cross multiply
    1,032.84x = 1,426.56 × 700.68
  4. Step 4: Simplify right side
    1,032.84x = 999,562.06
  5. Step 5: Solve for x
    x = 999,562.06/1,032.84
  6. Step 6: Final answer
    x = 967.78

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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.