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Finding the Fourth Proportional to 751.78, 1,036.78 and 472.04

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Solution

The fourth proportional to 751.78, 1,036.78 and 472.04 is: 650.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.78 : 1,036.78 = 472.04 : x
  2. Step 2: Convert to fraction form
    751.78/1,036.78 = 472.04/x
  3. Step 3: Cross multiply
    751.78x = 1,036.78 × 472.04
  4. Step 4: Simplify right side
    751.78x = 489,395.92
  5. Step 5: Solve for x
    x = 489,395.92/751.78
  6. Step 6: Final answer
    x = 650.99

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