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Finding the Fourth Proportional to 1,564.64, 2,346.26 and 468.80

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Solution

The fourth proportional to 1,564.64, 2,346.26 and 468.80 is: 702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.64 : 2,346.26 = 468.80 : x
  2. Step 2: Convert to fraction form
    1,564.64/2,346.26 = 468.80/x
  3. Step 3: Cross multiply
    1,564.64x = 2,346.26 × 468.80
  4. Step 4: Simplify right side
    1,564.64x = 1,099,912.61
  5. Step 5: Solve for x
    x = 1,099,912.61/1,564.64
  6. Step 6: Final answer
    x = 702.98

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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.