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Finding the Fourth Proportional to 1,009.06, 1,513.35 and 461.40

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Solution

The fourth proportional to 1,009.06, 1,513.35 and 461.40 is: 691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.06 : 1,513.35 = 461.40 : x
  2. Step 2: Convert to fraction form
    1,009.06/1,513.35 = 461.40/x
  3. Step 3: Cross multiply
    1,009.06x = 1,513.35 × 461.40
  4. Step 4: Simplify right side
    1,009.06x = 698,254.01
  5. Step 5: Solve for x
    x = 698,254.01/1,009.06
  6. Step 6: Final answer
    x = 691.99

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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.