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Finding the Fourth Proportional to 783.97, 1,081.65 and 469.10

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Solution

The fourth proportional to 783.97, 1,081.65 and 469.10 is: 647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.97 : 1,081.65 = 469.10 : x
  2. Step 2: Convert to fraction form
    783.97/1,081.65 = 469.10/x
  3. Step 3: Cross multiply
    783.97x = 1,081.65 × 469.10
  4. Step 4: Simplify right side
    783.97x = 507,404.72
  5. Step 5: Solve for x
    x = 507,404.72/783.97
  6. Step 6: Final answer
    x = 647.23

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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.