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Finding the Fourth Proportional to 784.26, 1,079.70 and 626.31

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Solution

The fourth proportional to 784.26, 1,079.70 and 626.31 is: 862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.26 : 1,079.70 = 626.31 : x
  2. Step 2: Convert to fraction form
    784.26/1,079.70 = 626.31/x
  3. Step 3: Cross multiply
    784.26x = 1,079.70 × 626.31
  4. Step 4: Simplify right side
    784.26x = 676,226.91
  5. Step 5: Solve for x
    x = 676,226.91/784.26
  6. Step 6: Final answer
    x = 862.25

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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.