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Finding the Fourth Proportional to 751.84, 1,123.10 and 578.44

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Solution

The fourth proportional to 751.84, 1,123.10 and 578.44 is: 864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.84 : 1,123.10 = 578.44 : x
  2. Step 2: Convert to fraction form
    751.84/1,123.10 = 578.44/x
  3. Step 3: Cross multiply
    751.84x = 1,123.10 × 578.44
  4. Step 4: Simplify right side
    751.84x = 649,645.96
  5. Step 5: Solve for x
    x = 649,645.96/751.84
  6. Step 6: Final answer
    x = 864.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.