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Finding the Fourth Proportional to 770.41, 1,156.63 and 458.63

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Solution

The fourth proportional to 770.41, 1,156.63 and 458.63 is: 688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.41 : 1,156.63 = 458.63 : x
  2. Step 2: Convert to fraction form
    770.41/1,156.63 = 458.63/x
  3. Step 3: Cross multiply
    770.41x = 1,156.63 × 458.63
  4. Step 4: Simplify right side
    770.41x = 530,465.22
  5. Step 5: Solve for x
    x = 530,465.22/770.41
  6. Step 6: Final answer
    x = 688.55

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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.