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Finding the Fourth Proportional to 1,564.64, 2,346.91 and 524.55

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Solution

The fourth proportional to 1,564.64, 2,346.91 and 524.55 is: 786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.64 : 2,346.91 = 524.55 : x
  2. Step 2: Convert to fraction form
    1,564.64/2,346.91 = 524.55/x
  3. Step 3: Cross multiply
    1,564.64x = 2,346.91 × 524.55
  4. Step 4: Simplify right side
    1,564.64x = 1,231,070.33
  5. Step 5: Solve for x
    x = 1,231,070.33/1,564.64
  6. Step 6: Final answer
    x = 786.81

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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.