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Finding the Fourth Proportional to 1,106.93, 1,526.78 and 939.99

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Solution

The fourth proportional to 1,106.93, 1,526.78 and 939.99 is: 1,296.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.93 : 1,526.78 = 939.99 : x
  2. Step 2: Convert to fraction form
    1,106.93/1,526.78 = 939.99/x
  3. Step 3: Cross multiply
    1,106.93x = 1,526.78 × 939.99
  4. Step 4: Simplify right side
    1,106.93x = 1,435,153.23
  5. Step 5: Solve for x
    x = 1,435,153.23/1,106.93
  6. Step 6: Final answer
    x = 1,296.52

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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.