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Finding the Fourth Proportional to 1,020.87, 1,408.19 and 705.78

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Solution

The fourth proportional to 1,020.87, 1,408.19 and 705.78 is: 973.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.87 : 1,408.19 = 705.78 : x
  2. Step 2: Convert to fraction form
    1,020.87/1,408.19 = 705.78/x
  3. Step 3: Cross multiply
    1,020.87x = 1,408.19 × 705.78
  4. Step 4: Simplify right side
    1,020.87x = 993,868.81
  5. Step 5: Solve for x
    x = 993,868.81/1,020.87
  6. Step 6: Final answer
    x = 973.55

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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.