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Finding the Fourth Proportional to 994.28, 1,490.46 and 705

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Solution

The fourth proportional to 994.28, 1,490.46 and 705 is: 1,056.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.28 : 1,490.46 = 705 : x
  2. Step 2: Convert to fraction form
    994.28/1,490.46 = 705/x
  3. Step 3: Cross multiply
    994.28x = 1,490.46 × 705
  4. Step 4: Simplify right side
    994.28x = 1,050,774.30
  5. Step 5: Solve for x
    x = 1,050,774.30/994.28
  6. Step 6: Final answer
    x = 1,056.82

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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.