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Finding the Fourth Proportional to 783.83, 1,081.63 and 429.70

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Solution

The fourth proportional to 783.83, 1,081.63 and 429.70 is: 592.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.83 : 1,081.63 = 429.70 : x
  2. Step 2: Convert to fraction form
    783.83/1,081.63 = 429.70/x
  3. Step 3: Cross multiply
    783.83x = 1,081.63 × 429.70
  4. Step 4: Simplify right side
    783.83x = 464,774.24
  5. Step 5: Solve for x
    x = 464,774.24/783.83
  6. Step 6: Final answer
    x = 592.95

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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.