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Finding the Fourth Proportional to 1,416.59, 2,124.85 and 771.42

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Solution

The fourth proportional to 1,416.59, 2,124.85 and 771.42 is: 1,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.59 : 2,124.85 = 771.42 : x
  2. Step 2: Convert to fraction form
    1,416.59/2,124.85 = 771.42/x
  3. Step 3: Cross multiply
    1,416.59x = 2,124.85 × 771.42
  4. Step 4: Simplify right side
    1,416.59x = 1,639,151.79
  5. Step 5: Solve for x
    x = 1,639,151.79/1,416.59
  6. Step 6: Final answer
    x = 1,157.11

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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.