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Finding the Fourth Proportional to 1,400.58, 2,099.49 and 577.71

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Solution

The fourth proportional to 1,400.58, 2,099.49 and 577.71 is: 866.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.58 : 2,099.49 = 577.71 : x
  2. Step 2: Convert to fraction form
    1,400.58/2,099.49 = 577.71/x
  3. Step 3: Cross multiply
    1,400.58x = 2,099.49 × 577.71
  4. Step 4: Simplify right side
    1,400.58x = 1,212,901.62
  5. Step 5: Solve for x
    x = 1,212,901.62/1,400.58
  6. Step 6: Final answer
    x = 866.00

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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.