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Finding the Fourth Proportional to 700.38, 1,051.11 and 565.08

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Solution

The fourth proportional to 700.38, 1,051.11 and 565.08 is: 848.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.38 : 1,051.11 = 565.08 : x
  2. Step 2: Convert to fraction form
    700.38/1,051.11 = 565.08/x
  3. Step 3: Cross multiply
    700.38x = 1,051.11 × 565.08
  4. Step 4: Simplify right side
    700.38x = 593,961.24
  5. Step 5: Solve for x
    x = 593,961.24/700.38
  6. Step 6: Final answer
    x = 848.06

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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.