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Finding the Fourth Proportional to 770.07, 1,156.68 and 654.69

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Solution

The fourth proportional to 770.07, 1,156.68 and 654.69 is: 983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.07 : 1,156.68 = 654.69 : x
  2. Step 2: Convert to fraction form
    770.07/1,156.68 = 654.69/x
  3. Step 3: Cross multiply
    770.07x = 1,156.68 × 654.69
  4. Step 4: Simplify right side
    770.07x = 757,266.83
  5. Step 5: Solve for x
    x = 757,266.83/770.07
  6. Step 6: Final answer
    x = 983.37

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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.