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Finding the Fourth Proportional to 783.26, 1,080.93 and 434

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Solution

The fourth proportional to 783.26, 1,080.93 and 434 is: 598.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.26 : 1,080.93 = 434 : x
  2. Step 2: Convert to fraction form
    783.26/1,080.93 = 434/x
  3. Step 3: Cross multiply
    783.26x = 1,080.93 × 434
  4. Step 4: Simplify right side
    783.26x = 469,123.62
  5. Step 5: Solve for x
    x = 469,123.62/783.26
  6. Step 6: Final answer
    x = 598.94

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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.