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Finding the Fourth Proportional to 1,416.81, 2,126.57 and 594.87

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Solution

The fourth proportional to 1,416.81, 2,126.57 and 594.87 is: 892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.81 : 2,126.57 = 594.87 : x
  2. Step 2: Convert to fraction form
    1,416.81/2,126.57 = 594.87/x
  3. Step 3: Cross multiply
    1,416.81x = 2,126.57 × 594.87
  4. Step 4: Simplify right side
    1,416.81x = 1,265,032.70
  5. Step 5: Solve for x
    x = 1,265,032.70/1,416.81
  6. Step 6: Final answer
    x = 892.87

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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.