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Finding the Fourth Proportional to 1,043.18, 1,564.96 and 466.10

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Solution

The fourth proportional to 1,043.18, 1,564.96 and 466.10 is: 699.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.18 : 1,564.96 = 466.10 : x
  2. Step 2: Convert to fraction form
    1,043.18/1,564.96 = 466.10/x
  3. Step 3: Cross multiply
    1,043.18x = 1,564.96 × 466.10
  4. Step 4: Simplify right side
    1,043.18x = 729,427.86
  5. Step 5: Solve for x
    x = 729,427.86/1,043.18
  6. Step 6: Final answer
    x = 699.23

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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.