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Finding the Fourth Proportional to 698.08, 962.82 and 511.50

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Solution

The fourth proportional to 698.08, 962.82 and 511.50 is: 705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.08 : 962.82 = 511.50 : x
  2. Step 2: Convert to fraction form
    698.08/962.82 = 511.50/x
  3. Step 3: Cross multiply
    698.08x = 962.82 × 511.50
  4. Step 4: Simplify right side
    698.08x = 492,482.43
  5. Step 5: Solve for x
    x = 492,482.43/698.08
  6. Step 6: Final answer
    x = 705.48

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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.