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Finding the Fourth Proportional to 973.30, 1,342.82 and 624.20

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Solution

The fourth proportional to 973.30, 1,342.82 and 624.20 is: 861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.30 : 1,342.82 = 624.20 : x
  2. Step 2: Convert to fraction form
    973.30/1,342.82 = 624.20/x
  3. Step 3: Cross multiply
    973.30x = 1,342.82 × 624.20
  4. Step 4: Simplify right side
    973.30x = 838,188.24
  5. Step 5: Solve for x
    x = 838,188.24/973.30
  6. Step 6: Final answer
    x = 861.18

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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.