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Finding the Fourth Proportional to 1,138.32, 1,707.49 and 316.65

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Solution

The fourth proportional to 1,138.32, 1,707.49 and 316.65 is: 474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.32 : 1,707.49 = 316.65 : x
  2. Step 2: Convert to fraction form
    1,138.32/1,707.49 = 316.65/x
  3. Step 3: Cross multiply
    1,138.32x = 1,707.49 × 316.65
  4. Step 4: Simplify right side
    1,138.32x = 540,683.51
  5. Step 5: Solve for x
    x = 540,683.51/1,138.32
  6. Step 6: Final answer
    x = 474.98

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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.