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Finding the Fourth Proportional to 785.21, 1,177.60 and 373.52

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Solution

The fourth proportional to 785.21, 1,177.60 and 373.52 is: 560.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.21 : 1,177.60 = 373.52 : x
  2. Step 2: Convert to fraction form
    785.21/1,177.60 = 373.52/x
  3. Step 3: Cross multiply
    785.21x = 1,177.60 × 373.52
  4. Step 4: Simplify right side
    785.21x = 439,857.15
  5. Step 5: Solve for x
    x = 439,857.15/785.21
  6. Step 6: Final answer
    x = 560.18

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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.