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Finding the Fourth Proportional to 1,312.24, 1,810.86 and 722.78

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Solution

The fourth proportional to 1,312.24, 1,810.86 and 722.78 is: 997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.24 : 1,810.86 = 722.78 : x
  2. Step 2: Convert to fraction form
    1,312.24/1,810.86 = 722.78/x
  3. Step 3: Cross multiply
    1,312.24x = 1,810.86 × 722.78
  4. Step 4: Simplify right side
    1,312.24x = 1,308,853.39
  5. Step 5: Solve for x
    x = 1,308,853.39/1,312.24
  6. Step 6: Final answer
    x = 997.42

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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.