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Finding the Fourth Proportional to 1,064.81, 1,469.32 and 592.63

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Solution

The fourth proportional to 1,064.81, 1,469.32 and 592.63 is: 817.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.81 : 1,469.32 = 592.63 : x
  2. Step 2: Convert to fraction form
    1,064.81/1,469.32 = 592.63/x
  3. Step 3: Cross multiply
    1,064.81x = 1,469.32 × 592.63
  4. Step 4: Simplify right side
    1,064.81x = 870,763.11
  5. Step 5: Solve for x
    x = 870,763.11/1,064.81
  6. Step 6: Final answer
    x = 817.76

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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.