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Finding the Fourth Proportional to 783.36, 1,080.92 and 468.75

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Solution

The fourth proportional to 783.36, 1,080.92 and 468.75 is: 646.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.36 : 1,080.92 = 468.75 : x
  2. Step 2: Convert to fraction form
    783.36/1,080.92 = 468.75/x
  3. Step 3: Cross multiply
    783.36x = 1,080.92 × 468.75
  4. Step 4: Simplify right side
    783.36x = 506,678.91
  5. Step 5: Solve for x
    x = 506,678.91/783.36
  6. Step 6: Final answer
    x = 646.80

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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.