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Finding the Fourth Proportional to 873.64, 1,205.70 and 559.16

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Solution

The fourth proportional to 873.64, 1,205.70 and 559.16 is: 771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.64 : 1,205.70 = 559.16 : x
  2. Step 2: Convert to fraction form
    873.64/1,205.70 = 559.16/x
  3. Step 3: Cross multiply
    873.64x = 1,205.70 × 559.16
  4. Step 4: Simplify right side
    873.64x = 674,179.21
  5. Step 5: Solve for x
    x = 674,179.21/873.64
  6. Step 6: Final answer
    x = 771.69

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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.