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Finding the Fourth Proportional to 873.50, 1,309.29 and 564.62

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Solution

The fourth proportional to 873.50, 1,309.29 and 564.62 is: 846.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.50 : 1,309.29 = 564.62 : x
  2. Step 2: Convert to fraction form
    873.50/1,309.29 = 564.62/x
  3. Step 3: Cross multiply
    873.50x = 1,309.29 × 564.62
  4. Step 4: Simplify right side
    873.50x = 739,251.32
  5. Step 5: Solve for x
    x = 739,251.32/873.50
  6. Step 6: Final answer
    x = 846.31

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Double scale
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1.5x scale

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.