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Finding the Fourth Proportional to 700.78, 1,050.61 and 454.23

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Solution

The fourth proportional to 700.78, 1,050.61 and 454.23 is: 680.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.78 : 1,050.61 = 454.23 : x
  2. Step 2: Convert to fraction form
    700.78/1,050.61 = 454.23/x
  3. Step 3: Cross multiply
    700.78x = 1,050.61 × 454.23
  4. Step 4: Simplify right side
    700.78x = 477,218.58
  5. Step 5: Solve for x
    x = 477,218.58/700.78
  6. Step 6: Final answer
    x = 680.98

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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.