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Finding the Fourth Proportional to 745.84, 1,119.53 and 551.06

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Solution

The fourth proportional to 745.84, 1,119.53 and 551.06 is: 827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.84 : 1,119.53 = 551.06 : x
  2. Step 2: Convert to fraction form
    745.84/1,119.53 = 551.06/x
  3. Step 3: Cross multiply
    745.84x = 1,119.53 × 551.06
  4. Step 4: Simplify right side
    745.84x = 616,922.60
  5. Step 5: Solve for x
    x = 616,922.60/745.84
  6. Step 6: Final answer
    x = 827.16

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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.