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Finding the Fourth Proportional to 1,014.68, 1,400.14 and 572.57

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Solution

The fourth proportional to 1,014.68, 1,400.14 and 572.57 is: 790.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.68 : 1,400.14 = 572.57 : x
  2. Step 2: Convert to fraction form
    1,014.68/1,400.14 = 572.57/x
  3. Step 3: Cross multiply
    1,014.68x = 1,400.14 × 572.57
  4. Step 4: Simplify right side
    1,014.68x = 801,673.90
  5. Step 5: Solve for x
    x = 801,673.90/1,014.68
  6. Step 6: Final answer
    x = 790.08

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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.