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Finding the Fourth Proportional to 808.83, 1,115.69 and 560.16

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Solution

The fourth proportional to 808.83, 1,115.69 and 560.16 is: 772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.83 : 1,115.69 = 560.16 : x
  2. Step 2: Convert to fraction form
    808.83/1,115.69 = 560.16/x
  3. Step 3: Cross multiply
    808.83x = 1,115.69 × 560.16
  4. Step 4: Simplify right side
    808.83x = 624,962.11
  5. Step 5: Solve for x
    x = 624,962.11/808.83
  6. Step 6: Final answer
    x = 772.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.