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Finding the Fourth Proportional to 1,564.08, 2,347.56 and 699.12

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Solution

The fourth proportional to 1,564.08, 2,347.56 and 699.12 is: 1,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.08 : 2,347.56 = 699.12 : x
  2. Step 2: Convert to fraction form
    1,564.08/2,347.56 = 699.12/x
  3. Step 3: Cross multiply
    1,564.08x = 2,347.56 × 699.12
  4. Step 4: Simplify right side
    1,564.08x = 1,641,226.15
  5. Step 5: Solve for x
    x = 1,641,226.15/1,564.08
  6. Step 6: Final answer
    x = 1,049.32

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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.