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Finding the Fourth Proportional to 974.16, 1,342.08 and 624.24

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Solution

The fourth proportional to 974.16, 1,342.08 and 624.24 is: 860.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.16 : 1,342.08 = 624.24 : x
  2. Step 2: Convert to fraction form
    974.16/1,342.08 = 624.24/x
  3. Step 3: Cross multiply
    974.16x = 1,342.08 × 624.24
  4. Step 4: Simplify right side
    974.16x = 837,780.02
  5. Step 5: Solve for x
    x = 837,780.02/974.16
  6. Step 6: Final answer
    x = 860.00

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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.