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Finding the Fourth Proportional to 770.92, 1,156.70 and 429.16

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Solution

The fourth proportional to 770.92, 1,156.70 and 429.16 is: 643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.92 : 1,156.70 = 429.16 : x
  2. Step 2: Convert to fraction form
    770.92/1,156.70 = 429.16/x
  3. Step 3: Cross multiply
    770.92x = 1,156.70 × 429.16
  4. Step 4: Simplify right side
    770.92x = 496,409.37
  5. Step 5: Solve for x
    x = 496,409.37/770.92
  6. Step 6: Final answer
    x = 643.92

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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.