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Finding the Fourth Proportional to 778.26, 1,070.32 and 619.02

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Solution

The fourth proportional to 778.26, 1,070.32 and 619.02 is: 851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.26 : 1,070.32 = 619.02 : x
  2. Step 2: Convert to fraction form
    778.26/1,070.32 = 619.02/x
  3. Step 3: Cross multiply
    778.26x = 1,070.32 × 619.02
  4. Step 4: Simplify right side
    778.26x = 662,547.94
  5. Step 5: Solve for x
    x = 662,547.94/778.26
  6. Step 6: Final answer
    x = 851.32

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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.