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Finding the Fourth Proportional to 783.69, 1,081.47 and 429.65

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Solution

The fourth proportional to 783.69, 1,081.47 and 429.65 is: 592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.69 : 1,081.47 = 429.65 : x
  2. Step 2: Convert to fraction form
    783.69/1,081.47 = 429.65/x
  3. Step 3: Cross multiply
    783.69x = 1,081.47 × 429.65
  4. Step 4: Simplify right side
    783.69x = 464,653.59
  5. Step 5: Solve for x
    x = 464,653.59/783.69
  6. Step 6: Final answer
    x = 592.90

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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.