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Finding the Fourth Proportional to 934.83, 1,288.91 and 787.14

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Solution

The fourth proportional to 934.83, 1,288.91 and 787.14 is: 1,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.83 : 1,288.91 = 787.14 : x
  2. Step 2: Convert to fraction form
    934.83/1,288.91 = 787.14/x
  3. Step 3: Cross multiply
    934.83x = 1,288.91 × 787.14
  4. Step 4: Simplify right side
    934.83x = 1,014,554.59
  5. Step 5: Solve for x
    x = 1,014,554.59/934.83
  6. Step 6: Final answer
    x = 1,085.28

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1.5x scale

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.