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Finding the Fourth Proportional to 1,000.51, 1,380.67 and 558.40

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Solution

The fourth proportional to 1,000.51, 1,380.67 and 558.40 is: 770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.51 : 1,380.67 = 558.40 : x
  2. Step 2: Convert to fraction form
    1,000.51/1,380.67 = 558.40/x
  3. Step 3: Cross multiply
    1,000.51x = 1,380.67 × 558.40
  4. Step 4: Simplify right side
    1,000.51x = 770,966.13
  5. Step 5: Solve for x
    x = 770,966.13/1,000.51
  6. Step 6: Final answer
    x = 770.57

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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.