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Finding the Fourth Proportional to 1,009.24, 1,513.24 and 460.90

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Solution

The fourth proportional to 1,009.24, 1,513.24 and 460.90 is: 691.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.24 : 1,513.24 = 460.90 : x
  2. Step 2: Convert to fraction form
    1,009.24/1,513.24 = 460.90/x
  3. Step 3: Cross multiply
    1,009.24x = 1,513.24 × 460.90
  4. Step 4: Simplify right side
    1,009.24x = 697,452.32
  5. Step 5: Solve for x
    x = 697,452.32/1,009.24
  6. Step 6: Final answer
    x = 691.07

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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.