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Finding the Fourth Proportional to 784, 1,175.20 and 373.18

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Solution

The fourth proportional to 784, 1,175.20 and 373.18 is: 559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    784 : 1,175.20 = 373.18 : x
  2. Step 2: Convert to fraction form
    784/1,175.20 = 373.18/x
  3. Step 3: Cross multiply
    784x = 1,175.20 × 373.18
  4. Step 4: Simplify right side
    784x = 438,561.14
  5. Step 5: Solve for x
    x = 438,561.14/784
  6. Step 6: Final answer
    x = 559.39

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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.