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Finding the Fourth Proportional to 1,416.42, 2,124.54 and 491.90

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Solution

The fourth proportional to 1,416.42, 2,124.54 and 491.90 is: 737.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.42 : 2,124.54 = 491.90 : x
  2. Step 2: Convert to fraction form
    1,416.42/2,124.54 = 491.90/x
  3. Step 3: Cross multiply
    1,416.42x = 2,124.54 × 491.90
  4. Step 4: Simplify right side
    1,416.42x = 1,045,050.60
  5. Step 5: Solve for x
    x = 1,045,050.60/1,416.42
  6. Step 6: Final answer
    x = 737.81

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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.