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Finding the Fourth Proportional to 779.82, 1,076.15 and 430.53

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Solution

The fourth proportional to 779.82, 1,076.15 and 430.53 is: 594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.82 : 1,076.15 = 430.53 : x
  2. Step 2: Convert to fraction form
    779.82/1,076.15 = 430.53/x
  3. Step 3: Cross multiply
    779.82x = 1,076.15 × 430.53
  4. Step 4: Simplify right side
    779.82x = 463,307.33
  5. Step 5: Solve for x
    x = 463,307.33/779.82
  6. Step 6: Final answer
    x = 594.12

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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.