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Finding the Fourth Proportional to 646.91, 893.61 and 508.79

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Solution

The fourth proportional to 646.91, 893.61 and 508.79 is: 702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.91 : 893.61 = 508.79 : x
  2. Step 2: Convert to fraction form
    646.91/893.61 = 508.79/x
  3. Step 3: Cross multiply
    646.91x = 893.61 × 508.79
  4. Step 4: Simplify right side
    646.91x = 454,659.83
  5. Step 5: Solve for x
    x = 454,659.83/646.91
  6. Step 6: Final answer
    x = 702.82

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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.