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Finding the Fourth Proportional to 783.73, 1,081.52 and 429.64

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Solution

The fourth proportional to 783.73, 1,081.52 and 429.64 is: 592.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.73 : 1,081.52 = 429.64 : x
  2. Step 2: Convert to fraction form
    783.73/1,081.52 = 429.64/x
  3. Step 3: Cross multiply
    783.73x = 1,081.52 × 429.64
  4. Step 4: Simplify right side
    783.73x = 464,666.40
  5. Step 5: Solve for x
    x = 464,666.40/783.73
  6. Step 6: Final answer
    x = 592.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.