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Finding the Fourth Proportional to 706.51, 1,059.37 and 561.19

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Solution

The fourth proportional to 706.51, 1,059.37 and 561.19 is: 841.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.51 : 1,059.37 = 561.19 : x
  2. Step 2: Convert to fraction form
    706.51/1,059.37 = 561.19/x
  3. Step 3: Cross multiply
    706.51x = 1,059.37 × 561.19
  4. Step 4: Simplify right side
    706.51x = 594,507.85
  5. Step 5: Solve for x
    x = 594,507.85/706.51
  6. Step 6: Final answer
    x = 841.48

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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.