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Finding the Fourth Proportional to 1,209.66, 1,670.69 and 816

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Solution

The fourth proportional to 1,209.66, 1,670.69 and 816 is: 1,127.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.66 : 1,670.69 = 816 : x
  2. Step 2: Convert to fraction form
    1,209.66/1,670.69 = 816/x
  3. Step 3: Cross multiply
    1,209.66x = 1,670.69 × 816
  4. Step 4: Simplify right side
    1,209.66x = 1,363,283.04
  5. Step 5: Solve for x
    x = 1,363,283.04/1,209.66
  6. Step 6: Final answer
    x = 1,127.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.