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Finding the Fourth Proportional to 1,734.55, 2,602.00 and 564.50

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Solution

The fourth proportional to 1,734.55, 2,602.00 and 564.50 is: 846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.55 : 2,602.00 = 564.50 : x
  2. Step 2: Convert to fraction form
    1,734.55/2,602.00 = 564.50/x
  3. Step 3: Cross multiply
    1,734.55x = 2,602.00 × 564.50
  4. Step 4: Simplify right side
    1,734.55x = 1,468,826.18
  5. Step 5: Solve for x
    x = 1,468,826.18/1,734.55
  6. Step 6: Final answer
    x = 846.81

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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.