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Finding the Fourth Proportional to 839.95, 1,259.92 and 477.07

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Solution

The fourth proportional to 839.95, 1,259.92 and 477.07 is: 715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.95 : 1,259.92 = 477.07 : x
  2. Step 2: Convert to fraction form
    839.95/1,259.92 = 477.07/x
  3. Step 3: Cross multiply
    839.95x = 1,259.92 × 477.07
  4. Step 4: Simplify right side
    839.95x = 601,070.03
  5. Step 5: Solve for x
    x = 601,070.03/839.95
  6. Step 6: Final answer
    x = 715.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.