Home / 1,206.84-1,663.56-1,106.40

Finding the Fourth Proportional to 1,206.84, 1,663.56 and 1,106.40

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Solution

The fourth proportional to 1,206.84, 1,663.56 and 1,106.40 is: 1,525.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.84 : 1,663.56 = 1,106.40 : x
  2. Step 2: Convert to fraction form
    1,206.84/1,663.56 = 1,106.40/x
  3. Step 3: Cross multiply
    1,206.84x = 1,663.56 × 1,106.40
  4. Step 4: Simplify right side
    1,206.84x = 1,840,562.78
  5. Step 5: Solve for x
    x = 1,840,562.78/1,206.84
  6. Step 6: Final answer
    x = 1,525.11

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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.