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Finding the Fourth Proportional to 1,014.68, 1,400.14 and 595.04

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Solution

The fourth proportional to 1,014.68, 1,400.14 and 595.04 is: 821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.68 : 1,400.14 = 595.04 : x
  2. Step 2: Convert to fraction form
    1,014.68/1,400.14 = 595.04/x
  3. Step 3: Cross multiply
    1,014.68x = 1,400.14 × 595.04
  4. Step 4: Simplify right side
    1,014.68x = 833,139.31
  5. Step 5: Solve for x
    x = 833,139.31/1,014.68
  6. Step 6: Final answer
    x = 821.09

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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.