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Finding the Fourth Proportional to 1,411.79, 2,117.67 and 385.79

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Solution

The fourth proportional to 1,411.79, 2,117.67 and 385.79 is: 578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.79 : 2,117.67 = 385.79 : x
  2. Step 2: Convert to fraction form
    1,411.79/2,117.67 = 385.79/x
  3. Step 3: Cross multiply
    1,411.79x = 2,117.67 × 385.79
  4. Step 4: Simplify right side
    1,411.79x = 816,975.91
  5. Step 5: Solve for x
    x = 816,975.91/1,411.79
  6. Step 6: Final answer
    x = 578.68

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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.