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Finding the Fourth Proportional to 807.12, 1,113.76 and 512.48

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Solution

The fourth proportional to 807.12, 1,113.76 and 512.48 is: 707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.12 : 1,113.76 = 512.48 : x
  2. Step 2: Convert to fraction form
    807.12/1,113.76 = 512.48/x
  3. Step 3: Cross multiply
    807.12x = 1,113.76 × 512.48
  4. Step 4: Simplify right side
    807.12x = 570,779.72
  5. Step 5: Solve for x
    x = 570,779.72/807.12
  6. Step 6: Final answer
    x = 707.18

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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.