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Finding the Fourth Proportional to 1,399.47, 2,099.16 and 577.13

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Solution

The fourth proportional to 1,399.47, 2,099.16 and 577.13 is: 865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.47 : 2,099.16 = 577.13 : x
  2. Step 2: Convert to fraction form
    1,399.47/2,099.16 = 577.13/x
  3. Step 3: Cross multiply
    1,399.47x = 2,099.16 × 577.13
  4. Step 4: Simplify right side
    1,399.47x = 1,211,474.83
  5. Step 5: Solve for x
    x = 1,211,474.83/1,399.47
  6. Step 6: Final answer
    x = 865.67

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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.