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Finding the Fourth Proportional to 732.93, 1,010.99 and 511.80

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Solution

The fourth proportional to 732.93, 1,010.99 and 511.80 is: 705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.93 : 1,010.99 = 511.80 : x
  2. Step 2: Convert to fraction form
    732.93/1,010.99 = 511.80/x
  3. Step 3: Cross multiply
    732.93x = 1,010.99 × 511.80
  4. Step 4: Simplify right side
    732.93x = 517,422.12
  5. Step 5: Solve for x
    x = 517,422.12/732.93
  6. Step 6: Final answer
    x = 705.96

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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.