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Finding the Fourth Proportional to 770.02, 1,155.68 and 400.07

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Solution

The fourth proportional to 770.02, 1,155.68 and 400.07 is: 600.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.02 : 1,155.68 = 400.07 : x
  2. Step 2: Convert to fraction form
    770.02/1,155.68 = 400.07/x
  3. Step 3: Cross multiply
    770.02x = 1,155.68 × 400.07
  4. Step 4: Simplify right side
    770.02x = 462,350.90
  5. Step 5: Solve for x
    x = 462,350.90/770.02
  6. Step 6: Final answer
    x = 600.44

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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.