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Finding the Fourth Proportional to 751.20, 1,036.76 and 564.40

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Solution

The fourth proportional to 751.20, 1,036.76 and 564.40 is: 778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.20 : 1,036.76 = 564.40 : x
  2. Step 2: Convert to fraction form
    751.20/1,036.76 = 564.40/x
  3. Step 3: Cross multiply
    751.20x = 1,036.76 × 564.40
  4. Step 4: Simplify right side
    751.20x = 585,147.34
  5. Step 5: Solve for x
    x = 585,147.34/751.20
  6. Step 6: Final answer
    x = 778.95

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Why These Related Problems?

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