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Finding the Fourth Proportional to 1,032.46, 1,424.93 and 701.64

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Solution

The fourth proportional to 1,032.46, 1,424.93 and 701.64 is: 968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.46 : 1,424.93 = 701.64 : x
  2. Step 2: Convert to fraction form
    1,032.46/1,424.93 = 701.64/x
  3. Step 3: Cross multiply
    1,032.46x = 1,424.93 × 701.64
  4. Step 4: Simplify right side
    1,032.46x = 999,787.89
  5. Step 5: Solve for x
    x = 999,787.89/1,032.46
  6. Step 6: Final answer
    x = 968.36

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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.