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Finding the Fourth Proportional to 646.32, 973.20 and 531.84

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Solution

The fourth proportional to 646.32, 973.20 and 531.84 is: 800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.32 : 973.20 = 531.84 : x
  2. Step 2: Convert to fraction form
    646.32/973.20 = 531.84/x
  3. Step 3: Cross multiply
    646.32x = 973.20 × 531.84
  4. Step 4: Simplify right side
    646.32x = 517,586.69
  5. Step 5: Solve for x
    x = 517,586.69/646.32
  6. Step 6: Final answer
    x = 800.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.