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Finding the Fourth Proportional to 780.48, 1,170 and 506.70

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Solution

The fourth proportional to 780.48, 1,170 and 506.70 is: 759.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.48 : 1,170 = 506.70 : x
  2. Step 2: Convert to fraction form
    780.48/1,170 = 506.70/x
  3. Step 3: Cross multiply
    780.48x = 1,170 × 506.70
  4. Step 4: Simplify right side
    780.48x = 592,839
  5. Step 5: Solve for x
    x = 592,839/780.48
  6. Step 6: Final answer
    x = 759.58

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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.