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Finding the Fourth Proportional to 1,014.81, 1,400.29 and 595.23

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Solution

The fourth proportional to 1,014.81, 1,400.29 and 595.23 is: 821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.81 : 1,400.29 = 595.23 : x
  2. Step 2: Convert to fraction form
    1,014.81/1,400.29 = 595.23/x
  3. Step 3: Cross multiply
    1,014.81x = 1,400.29 × 595.23
  4. Step 4: Simplify right side
    1,014.81x = 833,494.62
  5. Step 5: Solve for x
    x = 833,494.62/1,014.81
  6. Step 6: Final answer
    x = 821.33

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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.