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Finding the Fourth Proportional to 784.17, 1,176.47 and 372.74

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Solution

The fourth proportional to 784.17, 1,176.47 and 372.74 is: 559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.17 : 1,176.47 = 372.74 : x
  2. Step 2: Convert to fraction form
    784.17/1,176.47 = 372.74/x
  3. Step 3: Cross multiply
    784.17x = 1,176.47 × 372.74
  4. Step 4: Simplify right side
    784.17x = 438,509.68
  5. Step 5: Solve for x
    x = 438,509.68/784.17
  6. Step 6: Final answer
    x = 559.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.