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Finding the Fourth Proportional to 1,206.86, 1,810.32 and 385.74

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Solution

The fourth proportional to 1,206.86, 1,810.32 and 385.74 is: 578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.86 : 1,810.32 = 385.74 : x
  2. Step 2: Convert to fraction form
    1,206.86/1,810.32 = 385.74/x
  3. Step 3: Cross multiply
    1,206.86x = 1,810.32 × 385.74
  4. Step 4: Simplify right side
    1,206.86x = 698,312.84
  5. Step 5: Solve for x
    x = 698,312.84/1,206.86
  6. Step 6: Final answer
    x = 578.62

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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.