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Finding the Fourth Proportional to 1,734.45, 2,602.13 and 501.96

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Solution

The fourth proportional to 1,734.45, 2,602.13 and 501.96 is: 753.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.45 : 2,602.13 = 501.96 : x
  2. Step 2: Convert to fraction form
    1,734.45/2,602.13 = 501.96/x
  3. Step 3: Cross multiply
    1,734.45x = 2,602.13 × 501.96
  4. Step 4: Simplify right side
    1,734.45x = 1,306,165.17
  5. Step 5: Solve for x
    x = 1,306,165.17/1,734.45
  6. Step 6: Final answer
    x = 753.07

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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.