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Finding the Fourth Proportional to 700.56, 1,050.96 and 354.06

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Solution

The fourth proportional to 700.56, 1,050.96 and 354.06 is: 531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.56 : 1,050.96 = 354.06 : x
  2. Step 2: Convert to fraction form
    700.56/1,050.96 = 354.06/x
  3. Step 3: Cross multiply
    700.56x = 1,050.96 × 354.06
  4. Step 4: Simplify right side
    700.56x = 372,102.90
  5. Step 5: Solve for x
    x = 372,102.90/700.56
  6. Step 6: Final answer
    x = 531.15

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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.