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Finding the Fourth Proportional to 1,475.34, 2,035.90 and 812.18

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Solution

The fourth proportional to 1,475.34, 2,035.90 and 812.18 is: 1,120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.34 : 2,035.90 = 812.18 : x
  2. Step 2: Convert to fraction form
    1,475.34/2,035.90 = 812.18/x
  3. Step 3: Cross multiply
    1,475.34x = 2,035.90 × 812.18
  4. Step 4: Simplify right side
    1,475.34x = 1,653,512.69
  5. Step 5: Solve for x
    x = 1,653,512.69/1,475.34
  6. Step 6: Final answer
    x = 1,120.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.