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Finding the Fourth Proportional to 857.64, 1,180.80 and 595.20

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Solution

The fourth proportional to 857.64, 1,180.80 and 595.20 is: 819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.64 : 1,180.80 = 595.20 : x
  2. Step 2: Convert to fraction form
    857.64/1,180.80 = 595.20/x
  3. Step 3: Cross multiply
    857.64x = 1,180.80 × 595.20
  4. Step 4: Simplify right side
    857.64x = 702,812.16
  5. Step 5: Solve for x
    x = 702,812.16/857.64
  6. Step 6: Final answer
    x = 819.47

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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.