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Finding the Fourth Proportional to 1,264.36, 1,742.96 and 870.72

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Solution

The fourth proportional to 1,264.36, 1,742.96 and 870.72 is: 1,200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.36 : 1,742.96 = 870.72 : x
  2. Step 2: Convert to fraction form
    1,264.36/1,742.96 = 870.72/x
  3. Step 3: Cross multiply
    1,264.36x = 1,742.96 × 870.72
  4. Step 4: Simplify right side
    1,264.36x = 1,517,630.13
  5. Step 5: Solve for x
    x = 1,517,630.13/1,264.36
  6. Step 6: Final answer
    x = 1,200.31

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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.