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Finding the Fourth Proportional to 1,064.65, 1,469.17 and 592.51

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Solution

The fourth proportional to 1,064.65, 1,469.17 and 592.51 is: 817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.65 : 1,469.17 = 592.51 : x
  2. Step 2: Convert to fraction form
    1,064.65/1,469.17 = 592.51/x
  3. Step 3: Cross multiply
    1,064.65x = 1,469.17 × 592.51
  4. Step 4: Simplify right side
    1,064.65x = 870,497.92
  5. Step 5: Solve for x
    x = 870,497.92/1,064.65
  6. Step 6: Final answer
    x = 817.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.