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Finding the Fourth Proportional to 785.18, 1,177.34 and 316.23

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Solution

The fourth proportional to 785.18, 1,177.34 and 316.23 is: 474.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.18 : 1,177.34 = 316.23 : x
  2. Step 2: Convert to fraction form
    785.18/1,177.34 = 316.23/x
  3. Step 3: Cross multiply
    785.18x = 1,177.34 × 316.23
  4. Step 4: Simplify right side
    785.18x = 372,308.65
  5. Step 5: Solve for x
    x = 372,308.65/785.18
  6. Step 6: Final answer
    x = 474.17

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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.