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Finding the Fourth Proportional to 1,206.63, 1,664 and 787.30

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Solution

The fourth proportional to 1,206.63, 1,664 and 787.30 is: 1,085.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.63 : 1,664 = 787.30 : x
  2. Step 2: Convert to fraction form
    1,206.63/1,664 = 787.30/x
  3. Step 3: Cross multiply
    1,206.63x = 1,664 × 787.30
  4. Step 4: Simplify right side
    1,206.63x = 1,310,067.20
  5. Step 5: Solve for x
    x = 1,310,067.20/1,206.63
  6. Step 6: Final answer
    x = 1,085.72

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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.