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Finding the Fourth Proportional to 786.15, 1,177.32 and 510.72

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Solution

The fourth proportional to 786.15, 1,177.32 and 510.72 is: 764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.15 : 1,177.32 = 510.72 : x
  2. Step 2: Convert to fraction form
    786.15/1,177.32 = 510.72/x
  3. Step 3: Cross multiply
    786.15x = 1,177.32 × 510.72
  4. Step 4: Simplify right side
    786.15x = 601,280.87
  5. Step 5: Solve for x
    x = 601,280.87/786.15
  6. Step 6: Final answer
    x = 764.84

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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.