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Finding the Fourth Proportional to 1,564.67, 2,346.98 and 640.02

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Solution

The fourth proportional to 1,564.67, 2,346.98 and 640.02 is: 960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.67 : 2,346.98 = 640.02 : x
  2. Step 2: Convert to fraction form
    1,564.67/2,346.98 = 640.02/x
  3. Step 3: Cross multiply
    1,564.67x = 2,346.98 × 640.02
  4. Step 4: Simplify right side
    1,564.67x = 1,502,110.94
  5. Step 5: Solve for x
    x = 1,502,110.94/1,564.67
  6. Step 6: Final answer
    x = 960.02

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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.