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Finding the Fourth Proportional to 1,207.23, 1,810.68 and 385.41

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Solution

The fourth proportional to 1,207.23, 1,810.68 and 385.41 is: 578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.23 : 1,810.68 = 385.41 : x
  2. Step 2: Convert to fraction form
    1,207.23/1,810.68 = 385.41/x
  3. Step 3: Cross multiply
    1,207.23x = 1,810.68 × 385.41
  4. Step 4: Simplify right side
    1,207.23x = 697,854.18
  5. Step 5: Solve for x
    x = 697,854.18/1,207.23
  6. Step 6: Final answer
    x = 578.06

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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.