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Finding the Fourth Proportional to 1,014.82, 1,400.49 and 572.70

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Solution

The fourth proportional to 1,014.82, 1,400.49 and 572.70 is: 790.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.82 : 1,400.49 = 572.70 : x
  2. Step 2: Convert to fraction form
    1,014.82/1,400.49 = 572.70/x
  3. Step 3: Cross multiply
    1,014.82x = 1,400.49 × 572.70
  4. Step 4: Simplify right side
    1,014.82x = 802,060.62
  5. Step 5: Solve for x
    x = 802,060.62/1,014.82
  6. Step 6: Final answer
    x = 790.35

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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.