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Finding the Fourth Proportional to 1,358.12, 2,035.50 and 773.61

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Solution

The fourth proportional to 1,358.12, 2,035.50 and 773.61 is: 1,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.12 : 2,035.50 = 773.61 : x
  2. Step 2: Convert to fraction form
    1,358.12/2,035.50 = 773.61/x
  3. Step 3: Cross multiply
    1,358.12x = 2,035.50 × 773.61
  4. Step 4: Simplify right side
    1,358.12x = 1,574,683.16
  5. Step 5: Solve for x
    x = 1,574,683.16/1,358.12
  6. Step 6: Final answer
    x = 1,159.46

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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.