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Finding the Fourth Proportional to 784.17, 1,175.46 and 437.67

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Solution

The fourth proportional to 784.17, 1,175.46 and 437.67 is: 656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.17 : 1,175.46 = 437.67 : x
  2. Step 2: Convert to fraction form
    784.17/1,175.46 = 437.67/x
  3. Step 3: Cross multiply
    784.17x = 1,175.46 × 437.67
  4. Step 4: Simplify right side
    784.17x = 514,463.58
  5. Step 5: Solve for x
    x = 514,463.58/784.17
  6. Step 6: Final answer
    x = 656.06

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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.