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Finding the Fourth Proportional to 982.95, 1,475.18 and 435.48

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Solution

The fourth proportional to 982.95, 1,475.18 and 435.48 is: 653.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.95 : 1,475.18 = 435.48 : x
  2. Step 2: Convert to fraction form
    982.95/1,475.18 = 435.48/x
  3. Step 3: Cross multiply
    982.95x = 1,475.18 × 435.48
  4. Step 4: Simplify right side
    982.95x = 642,409.21
  5. Step 5: Solve for x
    x = 642,409.21/982.95
  6. Step 6: Final answer
    x = 653.55

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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.