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Finding the Fourth Proportional to 1,156.43, 1,734.12 and 334.51

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Solution

The fourth proportional to 1,156.43, 1,734.12 and 334.51 is: 501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.43 : 1,734.12 = 334.51 : x
  2. Step 2: Convert to fraction form
    1,156.43/1,734.12 = 334.51/x
  3. Step 3: Cross multiply
    1,156.43x = 1,734.12 × 334.51
  4. Step 4: Simplify right side
    1,156.43x = 580,070.14
  5. Step 5: Solve for x
    x = 580,070.14/1,156.43
  6. Step 6: Final answer
    x = 501.60

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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.