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Finding the Fourth Proportional to 1,207.02, 1,810.61 and 385.36

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Solution

The fourth proportional to 1,207.02, 1,810.61 and 385.36 is: 578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.02 : 1,810.61 = 385.36 : x
  2. Step 2: Convert to fraction form
    1,207.02/1,810.61 = 385.36/x
  3. Step 3: Cross multiply
    1,207.02x = 1,810.61 × 385.36
  4. Step 4: Simplify right side
    1,207.02x = 697,734.74
  5. Step 5: Solve for x
    x = 697,734.74/1,207.02
  6. Step 6: Final answer
    x = 578.07

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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.