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Finding the Fourth Proportional to 864.83, 1,193.08 and 628.21

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Solution

The fourth proportional to 864.83, 1,193.08 and 628.21 is: 866.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.83 : 1,193.08 = 628.21 : x
  2. Step 2: Convert to fraction form
    864.83/1,193.08 = 628.21/x
  3. Step 3: Cross multiply
    864.83x = 1,193.08 × 628.21
  4. Step 4: Simplify right side
    864.83x = 749,499.17
  5. Step 5: Solve for x
    x = 749,499.17/864.83
  6. Step 6: Final answer
    x = 866.65

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1.5x scale

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.