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Finding the Fourth Proportional to 1,311.58, 1,810.01 and 722.10

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Solution

The fourth proportional to 1,311.58, 1,810.01 and 722.10 is: 996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.58 : 1,810.01 = 722.10 : x
  2. Step 2: Convert to fraction form
    1,311.58/1,810.01 = 722.10/x
  3. Step 3: Cross multiply
    1,311.58x = 1,810.01 × 722.10
  4. Step 4: Simplify right side
    1,311.58x = 1,307,008.22
  5. Step 5: Solve for x
    x = 1,307,008.22/1,311.58
  6. Step 6: Final answer
    x = 996.51

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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.