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Finding the Fourth Proportional to 1,430.95, 2,142.98 and 813.14

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Solution

The fourth proportional to 1,430.95, 2,142.98 and 813.14 is: 1,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.95 : 2,142.98 = 813.14 : x
  2. Step 2: Convert to fraction form
    1,430.95/2,142.98 = 813.14/x
  3. Step 3: Cross multiply
    1,430.95x = 2,142.98 × 813.14
  4. Step 4: Simplify right side
    1,430.95x = 1,742,544.05
  5. Step 5: Solve for x
    x = 1,742,544.05/1,430.95
  6. Step 6: Final answer
    x = 1,217.76

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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.