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Finding the Fourth Proportional to 1,203.18, 1,657.75 and 809.52

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Solution

The fourth proportional to 1,203.18, 1,657.75 and 809.52 is: 1,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.18 : 1,657.75 = 809.52 : x
  2. Step 2: Convert to fraction form
    1,203.18/1,657.75 = 809.52/x
  3. Step 3: Cross multiply
    1,203.18x = 1,657.75 × 809.52
  4. Step 4: Simplify right side
    1,203.18x = 1,341,979.76
  5. Step 5: Solve for x
    x = 1,341,979.76/1,203.18
  6. Step 6: Final answer
    x = 1,115.36

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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.