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Finding the Fourth Proportional to 783.34, 1,080.94 and 434.02

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Solution

The fourth proportional to 783.34, 1,080.94 and 434.02 is: 598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.34 : 1,080.94 = 434.02 : x
  2. Step 2: Convert to fraction form
    783.34/1,080.94 = 434.02/x
  3. Step 3: Cross multiply
    783.34x = 1,080.94 × 434.02
  4. Step 4: Simplify right side
    783.34x = 469,149.58
  5. Step 5: Solve for x
    x = 469,149.58/783.34
  6. Step 6: Final answer
    x = 598.91

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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.