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Finding the Fourth Proportional to 705.65, 1,056.78 and 339.26

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Solution

The fourth proportional to 705.65, 1,056.78 and 339.26 is: 508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.65 : 1,056.78 = 339.26 : x
  2. Step 2: Convert to fraction form
    705.65/1,056.78 = 339.26/x
  3. Step 3: Cross multiply
    705.65x = 1,056.78 × 339.26
  4. Step 4: Simplify right side
    705.65x = 358,517.90
  5. Step 5: Solve for x
    x = 358,517.90/705.65
  6. Step 6: Final answer
    x = 508.07

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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.