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Finding the Fourth Proportional to 974.61, 1,461.74 and 325.17

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Solution

The fourth proportional to 974.61, 1,461.74 and 325.17 is: 487.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.61 : 1,461.74 = 325.17 : x
  2. Step 2: Convert to fraction form
    974.61/1,461.74 = 325.17/x
  3. Step 3: Cross multiply
    974.61x = 1,461.74 × 325.17
  4. Step 4: Simplify right side
    974.61x = 475,312.37
  5. Step 5: Solve for x
    x = 475,312.37/974.61
  6. Step 6: Final answer
    x = 487.69

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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.