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Finding the Fourth Proportional to 784.36, 1,176.54 and 373.30

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Solution

The fourth proportional to 784.36, 1,176.54 and 373.30 is: 559.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.36 : 1,176.54 = 373.30 : x
  2. Step 2: Convert to fraction form
    784.36/1,176.54 = 373.30/x
  3. Step 3: Cross multiply
    784.36x = 1,176.54 × 373.30
  4. Step 4: Simplify right side
    784.36x = 439,202.38
  5. Step 5: Solve for x
    x = 439,202.38/784.36
  6. Step 6: Final answer
    x = 559.95

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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.