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Finding the Fourth Proportional to 974.70, 1,461.24 and 488.07

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Solution

The fourth proportional to 974.70, 1,461.24 and 488.07 is: 731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.70 : 1,461.24 = 488.07 : x
  2. Step 2: Convert to fraction form
    974.70/1,461.24 = 488.07/x
  3. Step 3: Cross multiply
    974.70x = 1,461.24 × 488.07
  4. Step 4: Simplify right side
    974.70x = 713,187.41
  5. Step 5: Solve for x
    x = 713,187.41/974.70
  6. Step 6: Final answer
    x = 731.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.