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Finding the Fourth Proportional to 1,063.85, 1,468.03 and 621.71

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Solution

The fourth proportional to 1,063.85, 1,468.03 and 621.71 is: 857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.85 : 1,468.03 = 621.71 : x
  2. Step 2: Convert to fraction form
    1,063.85/1,468.03 = 621.71/x
  3. Step 3: Cross multiply
    1,063.85x = 1,468.03 × 621.71
  4. Step 4: Simplify right side
    1,063.85x = 912,678.48
  5. Step 5: Solve for x
    x = 912,678.48/1,063.85
  6. Step 6: Final answer
    x = 857.90

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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.