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Finding the Fourth Proportional to 1,206.64, 1,810.16 and 385.12

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Solution

The fourth proportional to 1,206.64, 1,810.16 and 385.12 is: 577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.64 : 1,810.16 = 385.12 : x
  2. Step 2: Convert to fraction form
    1,206.64/1,810.16 = 385.12/x
  3. Step 3: Cross multiply
    1,206.64x = 1,810.16 × 385.12
  4. Step 4: Simplify right side
    1,206.64x = 697,128.82
  5. Step 5: Solve for x
    x = 697,128.82/1,206.64
  6. Step 6: Final answer
    x = 577.74

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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.