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Finding the Fourth Proportional to 770.61, 1,156.18 and 423.50

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Solution

The fourth proportional to 770.61, 1,156.18 and 423.50 is: 635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.61 : 1,156.18 = 423.50 : x
  2. Step 2: Convert to fraction form
    770.61/1,156.18 = 423.50/x
  3. Step 3: Cross multiply
    770.61x = 1,156.18 × 423.50
  4. Step 4: Simplify right side
    770.61x = 489,642.23
  5. Step 5: Solve for x
    x = 489,642.23/770.61
  6. Step 6: Final answer
    x = 635.40

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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.