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Finding the Fourth Proportional to 784.46, 1,175.88 and 373.30

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Solution

The fourth proportional to 784.46, 1,175.88 and 373.30 is: 559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.46 : 1,175.88 = 373.30 : x
  2. Step 2: Convert to fraction form
    784.46/1,175.88 = 373.30/x
  3. Step 3: Cross multiply
    784.46x = 1,175.88 × 373.30
  4. Step 4: Simplify right side
    784.46x = 438,956.00
  5. Step 5: Solve for x
    x = 438,956.00/784.46
  6. Step 6: Final answer
    x = 559.56

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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.