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Finding the Fourth Proportional to 1,156.04, 1,734.34 and 334.29

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Solution

The fourth proportional to 1,156.04, 1,734.34 and 334.29 is: 501.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.04 : 1,734.34 = 334.29 : x
  2. Step 2: Convert to fraction form
    1,156.04/1,734.34 = 334.29/x
  3. Step 3: Cross multiply
    1,156.04x = 1,734.34 × 334.29
  4. Step 4: Simplify right side
    1,156.04x = 579,772.52
  5. Step 5: Solve for x
    x = 579,772.52/1,156.04
  6. Step 6: Final answer
    x = 501.52

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