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Finding the Fourth Proportional to 857.49, 1,182.71 and 526.10

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Solution

The fourth proportional to 857.49, 1,182.71 and 526.10 is: 725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.49 : 1,182.71 = 526.10 : x
  2. Step 2: Convert to fraction form
    857.49/1,182.71 = 526.10/x
  3. Step 3: Cross multiply
    857.49x = 1,182.71 × 526.10
  4. Step 4: Simplify right side
    857.49x = 622,219.13
  5. Step 5: Solve for x
    x = 622,219.13/857.49
  6. Step 6: Final answer
    x = 725.63

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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.