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Finding the Fourth Proportional to 800.47, 1,199.08 and 707.52

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Solution

The fourth proportional to 800.47, 1,199.08 and 707.52 is: 1,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.47 : 1,199.08 = 707.52 : x
  2. Step 2: Convert to fraction form
    800.47/1,199.08 = 707.52/x
  3. Step 3: Cross multiply
    800.47x = 1,199.08 × 707.52
  4. Step 4: Simplify right side
    800.47x = 848,373.08
  5. Step 5: Solve for x
    x = 848,373.08/800.47
  6. Step 6: Final answer
    x = 1,059.84

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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.