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Finding the Fourth Proportional to 810.38, 1,117.55 and 515.12

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Solution

The fourth proportional to 810.38, 1,117.55 and 515.12 is: 710.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.38 : 1,117.55 = 515.12 : x
  2. Step 2: Convert to fraction form
    810.38/1,117.55 = 515.12/x
  3. Step 3: Cross multiply
    810.38x = 1,117.55 × 515.12
  4. Step 4: Simplify right side
    810.38x = 575,672.36
  5. Step 5: Solve for x
    x = 575,672.36/810.38
  6. Step 6: Final answer
    x = 710.37

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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.