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Finding the Fourth Proportional to 851.90, 1,174.95 and 572.04

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Solution

The fourth proportional to 851.90, 1,174.95 and 572.04 is: 788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.90 : 1,174.95 = 572.04 : x
  2. Step 2: Convert to fraction form
    851.90/1,174.95 = 572.04/x
  3. Step 3: Cross multiply
    851.90x = 1,174.95 × 572.04
  4. Step 4: Simplify right side
    851.90x = 672,118.40
  5. Step 5: Solve for x
    x = 672,118.40/851.90
  6. Step 6: Final answer
    x = 788.97

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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.