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Finding the Fourth Proportional to 1,259.37, 1,889.51 and 566.01

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Solution

The fourth proportional to 1,259.37, 1,889.51 and 566.01 is: 849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.37 : 1,889.51 = 566.01 : x
  2. Step 2: Convert to fraction form
    1,259.37/1,889.51 = 566.01/x
  3. Step 3: Cross multiply
    1,259.37x = 1,889.51 × 566.01
  4. Step 4: Simplify right side
    1,259.37x = 1,069,478.73
  5. Step 5: Solve for x
    x = 1,069,478.73/1,259.37
  6. Step 6: Final answer
    x = 849.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.