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Finding the Fourth Proportional to 1,008.11, 1,510.81 and 460.01

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Solution

The fourth proportional to 1,008.11, 1,510.81 and 460.01 is: 689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.11 : 1,510.81 = 460.01 : x
  2. Step 2: Convert to fraction form
    1,008.11/1,510.81 = 460.01/x
  3. Step 3: Cross multiply
    1,008.11x = 1,510.81 × 460.01
  4. Step 4: Simplify right side
    1,008.11x = 694,987.71
  5. Step 5: Solve for x
    x = 694,987.71/1,008.11
  6. Step 6: Final answer
    x = 689.40

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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.