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Finding the Fourth Proportional to 784.17, 1,176.26 and 460.24

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Solution

The fourth proportional to 784.17, 1,176.26 and 460.24 is: 690.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.17 : 1,176.26 = 460.24 : x
  2. Step 2: Convert to fraction form
    784.17/1,176.26 = 460.24/x
  3. Step 3: Cross multiply
    784.17x = 1,176.26 × 460.24
  4. Step 4: Simplify right side
    784.17x = 541,356.66
  5. Step 5: Solve for x
    x = 541,356.66/784.17
  6. Step 6: Final answer
    x = 690.36

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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.