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Finding the Fourth Proportional to 783.04, 1,080.25 and 468.15

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Solution

The fourth proportional to 783.04, 1,080.25 and 468.15 is: 645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.04 : 1,080.25 = 468.15 : x
  2. Step 2: Convert to fraction form
    783.04/1,080.25 = 468.15/x
  3. Step 3: Cross multiply
    783.04x = 1,080.25 × 468.15
  4. Step 4: Simplify right side
    783.04x = 505,719.04
  5. Step 5: Solve for x
    x = 505,719.04/783.04
  6. Step 6: Final answer
    x = 645.84

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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.