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Finding the Fourth Proportional to 1,032.04, 1,548.06 and 860.68

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Solution

The fourth proportional to 1,032.04, 1,548.06 and 860.68 is: 1,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.04 : 1,548.06 = 860.68 : x
  2. Step 2: Convert to fraction form
    1,032.04/1,548.06 = 860.68/x
  3. Step 3: Cross multiply
    1,032.04x = 1,548.06 × 860.68
  4. Step 4: Simplify right side
    1,032.04x = 1,332,384.28
  5. Step 5: Solve for x
    x = 1,332,384.28/1,032.04
  6. Step 6: Final answer
    x = 1,291.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.