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Finding the Fourth Proportional to 1,011.14, 1,509.02 and 985.22

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Solution

The fourth proportional to 1,011.14, 1,509.02 and 985.22 is: 1,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.14 : 1,509.02 = 985.22 : x
  2. Step 2: Convert to fraction form
    1,011.14/1,509.02 = 985.22/x
  3. Step 3: Cross multiply
    1,011.14x = 1,509.02 × 985.22
  4. Step 4: Simplify right side
    1,011.14x = 1,486,716.68
  5. Step 5: Solve for x
    x = 1,486,716.68/1,011.14
  6. Step 6: Final answer
    x = 1,470.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.