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Finding the Fourth Proportional to 1,564.66, 2,346.06 and 524.41

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Solution

The fourth proportional to 1,564.66, 2,346.06 and 524.41 is: 786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.66 : 2,346.06 = 524.41 : x
  2. Step 2: Convert to fraction form
    1,564.66/2,346.06 = 524.41/x
  3. Step 3: Cross multiply
    1,564.66x = 2,346.06 × 524.41
  4. Step 4: Simplify right side
    1,564.66x = 1,230,297.32
  5. Step 5: Solve for x
    x = 1,230,297.32/1,564.66
  6. Step 6: Final answer
    x = 786.30

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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.