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Finding the Fourth Proportional to 770.60, 1,156.06 and 463.08

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Solution

The fourth proportional to 770.60, 1,156.06 and 463.08 is: 694.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.60 : 1,156.06 = 463.08 : x
  2. Step 2: Convert to fraction form
    770.60/1,156.06 = 463.08/x
  3. Step 3: Cross multiply
    770.60x = 1,156.06 × 463.08
  4. Step 4: Simplify right side
    770.60x = 535,348.26
  5. Step 5: Solve for x
    x = 535,348.26/770.60
  6. Step 6: Final answer
    x = 694.72

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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.