Home / 1,152.16-1,587.36-872.80

Finding the Fourth Proportional to 1,152.16, 1,587.36 and 872.80

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Solution

The fourth proportional to 1,152.16, 1,587.36 and 872.80 is: 1,202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.16 : 1,587.36 = 872.80 : x
  2. Step 2: Convert to fraction form
    1,152.16/1,587.36 = 872.80/x
  3. Step 3: Cross multiply
    1,152.16x = 1,587.36 × 872.80
  4. Step 4: Simplify right side
    1,152.16x = 1,385,447.81
  5. Step 5: Solve for x
    x = 1,385,447.81/1,152.16
  6. Step 6: Final answer
    x = 1,202.48

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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.