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Finding the Fourth Proportional to 1,413, 2,118.06 and 591.75

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Solution

The fourth proportional to 1,413, 2,118.06 and 591.75 is: 887.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413 : 2,118.06 = 591.75 : x
  2. Step 2: Convert to fraction form
    1,413/2,118.06 = 591.75/x
  3. Step 3: Cross multiply
    1,413x = 2,118.06 × 591.75
  4. Step 4: Simplify right side
    1,413x = 1,253,362.01
  5. Step 5: Solve for x
    x = 1,253,362.01/1,413
  6. Step 6: Final answer
    x = 887.02

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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.