Home / 1,060.24-1,587.10-829.80

Finding the Fourth Proportional to 1,060.24, 1,587.10 and 829.80

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Solution

The fourth proportional to 1,060.24, 1,587.10 and 829.80 is: 1,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.24 : 1,587.10 = 829.80 : x
  2. Step 2: Convert to fraction form
    1,060.24/1,587.10 = 829.80/x
  3. Step 3: Cross multiply
    1,060.24x = 1,587.10 × 829.80
  4. Step 4: Simplify right side
    1,060.24x = 1,316,975.58
  5. Step 5: Solve for x
    x = 1,316,975.58/1,060.24
  6. Step 6: Final answer
    x = 1,242.15

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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.