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Finding the Fourth Proportional to 784.47, 1,177.01 and 373.59

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Solution

The fourth proportional to 784.47, 1,177.01 and 373.59 is: 560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.47 : 1,177.01 = 373.59 : x
  2. Step 2: Convert to fraction form
    784.47/1,177.01 = 373.59/x
  3. Step 3: Cross multiply
    784.47x = 1,177.01 × 373.59
  4. Step 4: Simplify right side
    784.47x = 439,717.30
  5. Step 5: Solve for x
    x = 439,717.30/784.47
  6. Step 6: Final answer
    x = 560.53

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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.