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Finding the Fourth Proportional to 974.16, 1,459.94 and 460.08

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Solution

The fourth proportional to 974.16, 1,459.94 and 460.08 is: 689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.16 : 1,459.94 = 460.08 : x
  2. Step 2: Convert to fraction form
    974.16/1,459.94 = 460.08/x
  3. Step 3: Cross multiply
    974.16x = 1,459.94 × 460.08
  4. Step 4: Simplify right side
    974.16x = 671,689.20
  5. Step 5: Solve for x
    x = 671,689.20/974.16
  6. Step 6: Final answer
    x = 689.51

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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.