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Finding the Fourth Proportional to 1,063.56, 1,594.26 and 698.52

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Solution

The fourth proportional to 1,063.56, 1,594.26 and 698.52 is: 1,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.56 : 1,594.26 = 698.52 : x
  2. Step 2: Convert to fraction form
    1,063.56/1,594.26 = 698.52/x
  3. Step 3: Cross multiply
    1,063.56x = 1,594.26 × 698.52
  4. Step 4: Simplify right side
    1,063.56x = 1,113,622.50
  5. Step 5: Solve for x
    x = 1,113,622.50/1,063.56
  6. Step 6: Final answer
    x = 1,047.07

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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.