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Finding the Fourth Proportional to 1,012.09, 1,396.54 and 592.51

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Solution

The fourth proportional to 1,012.09, 1,396.54 and 592.51 is: 817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.09 : 1,396.54 = 592.51 : x
  2. Step 2: Convert to fraction form
    1,012.09/1,396.54 = 592.51/x
  3. Step 3: Cross multiply
    1,012.09x = 1,396.54 × 592.51
  4. Step 4: Simplify right side
    1,012.09x = 827,463.92
  5. Step 5: Solve for x
    x = 827,463.92/1,012.09
  6. Step 6: Final answer
    x = 817.58

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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.