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Finding the Fourth Proportional to 1,007.13, 1,509.66 and 459.71

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Solution

The fourth proportional to 1,007.13, 1,509.66 and 459.71 is: 689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.13 : 1,509.66 = 459.71 : x
  2. Step 2: Convert to fraction form
    1,007.13/1,509.66 = 459.71/x
  3. Step 3: Cross multiply
    1,007.13x = 1,509.66 × 459.71
  4. Step 4: Simplify right side
    1,007.13x = 693,998.25
  5. Step 5: Solve for x
    x = 693,998.25/1,007.13
  6. Step 6: Final answer
    x = 689.09

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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.