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Finding the Fourth Proportional to 1,228.39, 1,697.33 and 981.74

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Solution

The fourth proportional to 1,228.39, 1,697.33 and 981.74 is: 1,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.39 : 1,697.33 = 981.74 : x
  2. Step 2: Convert to fraction form
    1,228.39/1,697.33 = 981.74/x
  3. Step 3: Cross multiply
    1,228.39x = 1,697.33 × 981.74
  4. Step 4: Simplify right side
    1,228.39x = 1,666,343.45
  5. Step 5: Solve for x
    x = 1,666,343.45/1,228.39
  6. Step 6: Final answer
    x = 1,356.53

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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.