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Finding the Fourth Proportional to 1,138.46, 1,707.58 and 316.71

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Solution

The fourth proportional to 1,138.46, 1,707.58 and 316.71 is: 475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.46 : 1,707.58 = 316.71 : x
  2. Step 2: Convert to fraction form
    1,138.46/1,707.58 = 316.71/x
  3. Step 3: Cross multiply
    1,138.46x = 1,707.58 × 316.71
  4. Step 4: Simplify right side
    1,138.46x = 540,808.06
  5. Step 5: Solve for x
    x = 540,808.06/1,138.46
  6. Step 6: Final answer
    x = 475.04

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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.