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Finding the Fourth Proportional to 1,416.52, 2,124.80 and 594.80

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Solution

The fourth proportional to 1,416.52, 2,124.80 and 594.80 is: 892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.52 : 2,124.80 = 594.80 : x
  2. Step 2: Convert to fraction form
    1,416.52/2,124.80 = 594.80/x
  3. Step 3: Cross multiply
    1,416.52x = 2,124.80 × 594.80
  4. Step 4: Simplify right side
    1,416.52x = 1,263,831.04
  5. Step 5: Solve for x
    x = 1,263,831.04/1,416.52
  6. Step 6: Final answer
    x = 892.21

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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.