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Finding the Fourth Proportional to 1,416.45, 2,124.68 and 594.50

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Solution

The fourth proportional to 1,416.45, 2,124.68 and 594.50 is: 891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.45 : 2,124.68 = 594.50 : x
  2. Step 2: Convert to fraction form
    1,416.45/2,124.68 = 594.50/x
  3. Step 3: Cross multiply
    1,416.45x = 2,124.68 × 594.50
  4. Step 4: Simplify right side
    1,416.45x = 1,263,122.26
  5. Step 5: Solve for x
    x = 1,263,122.26/1,416.45
  6. Step 6: Final answer
    x = 891.75

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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.