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Finding the Fourth Proportional to 1,612.01, 2,417.40 and 688.01

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Solution

The fourth proportional to 1,612.01, 2,417.40 and 688.01 is: 1,031.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.01 : 2,417.40 = 688.01 : x
  2. Step 2: Convert to fraction form
    1,612.01/2,417.40 = 688.01/x
  3. Step 3: Cross multiply
    1,612.01x = 2,417.40 × 688.01
  4. Step 4: Simplify right side
    1,612.01x = 1,663,183.29
  5. Step 5: Solve for x
    x = 1,663,183.29/1,612.01
  6. Step 6: Final answer
    x = 1,031.75

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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.