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Finding the Fourth Proportional to 1,207.06, 1,810.57 and 385.32

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Solution

The fourth proportional to 1,207.06, 1,810.57 and 385.32 is: 577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.06 : 1,810.57 = 385.32 : x
  2. Step 2: Convert to fraction form
    1,207.06/1,810.57 = 385.32/x
  3. Step 3: Cross multiply
    1,207.06x = 1,810.57 × 385.32
  4. Step 4: Simplify right side
    1,207.06x = 697,648.83
  5. Step 5: Solve for x
    x = 697,648.83/1,207.06
  6. Step 6: Final answer
    x = 577.97

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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.