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Finding the Fourth Proportional to 1,032.78, 1,424.70 and 701.10

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Solution

The fourth proportional to 1,032.78, 1,424.70 and 701.10 is: 967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.78 : 1,424.70 = 701.10 : x
  2. Step 2: Convert to fraction form
    1,032.78/1,424.70 = 701.10/x
  3. Step 3: Cross multiply
    1,032.78x = 1,424.70 × 701.10
  4. Step 4: Simplify right side
    1,032.78x = 998,857.17
  5. Step 5: Solve for x
    x = 998,857.17/1,032.78
  6. Step 6: Final answer
    x = 967.15

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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.