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Finding the Fourth Proportional to 854.18, 1,281.52 and 594.07

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Solution

The fourth proportional to 854.18, 1,281.52 and 594.07 is: 891.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.18 : 1,281.52 = 594.07 : x
  2. Step 2: Convert to fraction form
    854.18/1,281.52 = 594.07/x
  3. Step 3: Cross multiply
    854.18x = 1,281.52 × 594.07
  4. Step 4: Simplify right side
    854.18x = 761,310.13
  5. Step 5: Solve for x
    x = 761,310.13/854.18
  6. Step 6: Final answer
    x = 891.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.