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Finding the Fourth Proportional to 780.99, 1,170.54 and 348.45

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Solution

The fourth proportional to 780.99, 1,170.54 and 348.45 is: 522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.99 : 1,170.54 = 348.45 : x
  2. Step 2: Convert to fraction form
    780.99/1,170.54 = 348.45/x
  3. Step 3: Cross multiply
    780.99x = 1,170.54 × 348.45
  4. Step 4: Simplify right side
    780.99x = 407,874.66
  5. Step 5: Solve for x
    x = 407,874.66/780.99
  6. Step 6: Final answer
    x = 522.25

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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.