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Finding the Fourth Proportional to 1,156.04, 1,733.72 and 334.33

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Solution

The fourth proportional to 1,156.04, 1,733.72 and 334.33 is: 501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.04 : 1,733.72 = 334.33 : x
  2. Step 2: Convert to fraction form
    1,156.04/1,733.72 = 334.33/x
  3. Step 3: Cross multiply
    1,156.04x = 1,733.72 × 334.33
  4. Step 4: Simplify right side
    1,156.04x = 579,625.94
  5. Step 5: Solve for x
    x = 579,625.94/1,156.04
  6. Step 6: Final answer
    x = 501.39

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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.