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Finding the Fourth Proportional to 702.03, 969.03 and 506.10

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Solution

The fourth proportional to 702.03, 969.03 and 506.10 is: 698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.03 : 969.03 = 506.10 : x
  2. Step 2: Convert to fraction form
    702.03/969.03 = 506.10/x
  3. Step 3: Cross multiply
    702.03x = 969.03 × 506.10
  4. Step 4: Simplify right side
    702.03x = 490,426.08
  5. Step 5: Solve for x
    x = 490,426.08/702.03
  6. Step 6: Final answer
    x = 698.58

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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.