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Finding the Fourth Proportional to 744.95, 1,114.07 and 569.31

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Solution

The fourth proportional to 744.95, 1,114.07 and 569.31 is: 851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.95 : 1,114.07 = 569.31 : x
  2. Step 2: Convert to fraction form
    744.95/1,114.07 = 569.31/x
  3. Step 3: Cross multiply
    744.95x = 1,114.07 × 569.31
  4. Step 4: Simplify right side
    744.95x = 634,251.19
  5. Step 5: Solve for x
    x = 634,251.19/744.95
  6. Step 6: Final answer
    x = 851.40

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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.