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Finding the Fourth Proportional to 1,103.69, 1,655.54 and 334.19

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Solution

The fourth proportional to 1,103.69, 1,655.54 and 334.19 is: 501.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.69 : 1,655.54 = 334.19 : x
  2. Step 2: Convert to fraction form
    1,103.69/1,655.54 = 334.19/x
  3. Step 3: Cross multiply
    1,103.69x = 1,655.54 × 334.19
  4. Step 4: Simplify right side
    1,103.69x = 553,263.24
  5. Step 5: Solve for x
    x = 553,263.24/1,103.69
  6. Step 6: Final answer
    x = 501.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.