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Finding the Fourth Proportional to 779.72, 1,075.97 and 430.42

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Solution

The fourth proportional to 779.72, 1,075.97 and 430.42 is: 593.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.72 : 1,075.97 = 430.42 : x
  2. Step 2: Convert to fraction form
    779.72/1,075.97 = 430.42/x
  3. Step 3: Cross multiply
    779.72x = 1,075.97 × 430.42
  4. Step 4: Simplify right side
    779.72x = 463,111.48
  5. Step 5: Solve for x
    x = 463,111.48/779.72
  6. Step 6: Final answer
    x = 593.95

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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.