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Finding the Fourth Proportional to 783.95, 1,081.37 and 469

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Solution

The fourth proportional to 783.95, 1,081.37 and 469 is: 646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.95 : 1,081.37 = 469 : x
  2. Step 2: Convert to fraction form
    783.95/1,081.37 = 469/x
  3. Step 3: Cross multiply
    783.95x = 1,081.37 × 469
  4. Step 4: Simplify right side
    783.95x = 507,162.53
  5. Step 5: Solve for x
    x = 507,162.53/783.95
  6. Step 6: Final answer
    x = 646.93

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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.