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Finding the Fourth Proportional to 857.65, 1,183.57 and 526.01

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Solution

The fourth proportional to 857.65, 1,183.57 and 526.01 is: 725.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.65 : 1,183.57 = 526.01 : x
  2. Step 2: Convert to fraction form
    857.65/1,183.57 = 526.01/x
  3. Step 3: Cross multiply
    857.65x = 1,183.57 × 526.01
  4. Step 4: Simplify right side
    857.65x = 622,569.66
  5. Step 5: Solve for x
    x = 622,569.66/857.65
  6. Step 6: Final answer
    x = 725.90

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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.