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Finding the Fourth Proportional to 957.08, 1,320.77 and 559.01

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Solution

The fourth proportional to 957.08, 1,320.77 and 559.01 is: 771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.08 : 1,320.77 = 559.01 : x
  2. Step 2: Convert to fraction form
    957.08/1,320.77 = 559.01/x
  3. Step 3: Cross multiply
    957.08x = 1,320.77 × 559.01
  4. Step 4: Simplify right side
    957.08x = 738,320.84
  5. Step 5: Solve for x
    x = 738,320.84/957.08
  6. Step 6: Final answer
    x = 771.43

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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.