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Finding the Fourth Proportional to 830.16, 1,241.82 and 697.50

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Solution

The fourth proportional to 830.16, 1,241.82 and 697.50 is: 1,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.16 : 1,241.82 = 697.50 : x
  2. Step 2: Convert to fraction form
    830.16/1,241.82 = 697.50/x
  3. Step 3: Cross multiply
    830.16x = 1,241.82 × 697.50
  4. Step 4: Simplify right side
    830.16x = 866,169.45
  5. Step 5: Solve for x
    x = 866,169.45/830.16
  6. Step 6: Final answer
    x = 1,043.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.