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Finding the Fourth Proportional to 1,358.19, 2,035.59 and 773.67

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Solution

The fourth proportional to 1,358.19, 2,035.59 and 773.67 is: 1,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.19 : 2,035.59 = 773.67 : x
  2. Step 2: Convert to fraction form
    1,358.19/2,035.59 = 773.67/x
  3. Step 3: Cross multiply
    1,358.19x = 2,035.59 × 773.67
  4. Step 4: Simplify right side
    1,358.19x = 1,574,874.92
  5. Step 5: Solve for x
    x = 1,574,874.92/1,358.19
  6. Step 6: Final answer
    x = 1,159.54

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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.