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Finding the Fourth Proportional to 786.52, 1,177.64 and 511.93

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Solution

The fourth proportional to 786.52, 1,177.64 and 511.93 is: 766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.52 : 1,177.64 = 511.93 : x
  2. Step 2: Convert to fraction form
    786.52/1,177.64 = 511.93/x
  3. Step 3: Cross multiply
    786.52x = 1,177.64 × 511.93
  4. Step 4: Simplify right side
    786.52x = 602,869.25
  5. Step 5: Solve for x
    x = 602,869.25/786.52
  6. Step 6: Final answer
    x = 766.50

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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.