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Finding the Fourth Proportional to 857.60, 1,182.80 and 621.58

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Solution

The fourth proportional to 857.60, 1,182.80 and 621.58 is: 857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.60 : 1,182.80 = 621.58 : x
  2. Step 2: Convert to fraction form
    857.60/1,182.80 = 621.58/x
  3. Step 3: Cross multiply
    857.60x = 1,182.80 × 621.58
  4. Step 4: Simplify right side
    857.60x = 735,204.82
  5. Step 5: Solve for x
    x = 735,204.82/857.60
  6. Step 6: Final answer
    x = 857.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.