Home / 1,106.13-1,526.87-733.23

Finding the Fourth Proportional to 1,106.13, 1,526.87 and 733.23

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Solution

The fourth proportional to 1,106.13, 1,526.87 and 733.23 is: 1,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.13 : 1,526.87 = 733.23 : x
  2. Step 2: Convert to fraction form
    1,106.13/1,526.87 = 733.23/x
  3. Step 3: Cross multiply
    1,106.13x = 1,526.87 × 733.23
  4. Step 4: Simplify right side
    1,106.13x = 1,119,546.89
  5. Step 5: Solve for x
    x = 1,119,546.89/1,106.13
  6. Step 6: Final answer
    x = 1,012.13

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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.