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Finding the Fourth Proportional to 974.19, 1,461.21 and 243.77

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Solution

The fourth proportional to 974.19, 1,461.21 and 243.77 is: 365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.19 : 1,461.21 = 243.77 : x
  2. Step 2: Convert to fraction form
    974.19/1,461.21 = 243.77/x
  3. Step 3: Cross multiply
    974.19x = 1,461.21 × 243.77
  4. Step 4: Simplify right side
    974.19x = 356,199.16
  5. Step 5: Solve for x
    x = 356,199.16/974.19
  6. Step 6: Final answer
    x = 365.64

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Double scale
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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.