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Finding the Fourth Proportional to 704.16, 1,055.16 and 379.80

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Solution

The fourth proportional to 704.16, 1,055.16 and 379.80 is: 569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.16 : 1,055.16 = 379.80 : x
  2. Step 2: Convert to fraction form
    704.16/1,055.16 = 379.80/x
  3. Step 3: Cross multiply
    704.16x = 1,055.16 × 379.80
  4. Step 4: Simplify right side
    704.16x = 400,749.77
  5. Step 5: Solve for x
    x = 400,749.77/704.16
  6. Step 6: Final answer
    x = 569.12

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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.