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Finding the Fourth Proportional to 852.95, 1,177.14 and 480.01

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Solution

The fourth proportional to 852.95, 1,177.14 and 480.01 is: 662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.95 : 1,177.14 = 480.01 : x
  2. Step 2: Convert to fraction form
    852.95/1,177.14 = 480.01/x
  3. Step 3: Cross multiply
    852.95x = 1,177.14 × 480.01
  4. Step 4: Simplify right side
    852.95x = 565,038.97
  5. Step 5: Solve for x
    x = 565,038.97/852.95
  6. Step 6: Final answer
    x = 662.45

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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.