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Finding the Fourth Proportional to 780.50, 1,076.98 and 465.74

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Solution

The fourth proportional to 780.50, 1,076.98 and 465.74 is: 642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.50 : 1,076.98 = 465.74 : x
  2. Step 2: Convert to fraction form
    780.50/1,076.98 = 465.74/x
  3. Step 3: Cross multiply
    780.50x = 1,076.98 × 465.74
  4. Step 4: Simplify right side
    780.50x = 501,586.12
  5. Step 5: Solve for x
    x = 501,586.12/780.50
  6. Step 6: Final answer
    x = 642.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.