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Finding the Fourth Proportional to 783.54, 1,080.95 and 468.65

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Solution

The fourth proportional to 783.54, 1,080.95 and 468.65 is: 646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.54 : 1,080.95 = 468.65 : x
  2. Step 2: Convert to fraction form
    783.54/1,080.95 = 468.65/x
  3. Step 3: Cross multiply
    783.54x = 1,080.95 × 468.65
  4. Step 4: Simplify right side
    783.54x = 506,579.47
  5. Step 5: Solve for x
    x = 506,579.47/783.54
  6. Step 6: Final answer
    x = 646.53

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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.