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Finding the Fourth Proportional to 770.90, 1,063.84 and 456.16

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Solution

The fourth proportional to 770.90, 1,063.84 and 456.16 is: 629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.90 : 1,063.84 = 456.16 : x
  2. Step 2: Convert to fraction form
    770.90/1,063.84 = 456.16/x
  3. Step 3: Cross multiply
    770.90x = 1,063.84 × 456.16
  4. Step 4: Simplify right side
    770.90x = 485,281.25
  5. Step 5: Solve for x
    x = 485,281.25/770.90
  6. Step 6: Final answer
    x = 629.50

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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.