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Finding the Fourth Proportional to 984.32, 1,478.10 and 602.00

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Solution

The fourth proportional to 984.32, 1,478.10 and 602.00 is: 903.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.32 : 1,478.10 = 602.00 : x
  2. Step 2: Convert to fraction form
    984.32/1,478.10 = 602.00/x
  3. Step 3: Cross multiply
    984.32x = 1,478.10 × 602.00
  4. Step 4: Simplify right side
    984.32x = 889,808.81
  5. Step 5: Solve for x
    x = 889,808.81/984.32
  6. Step 6: Final answer
    x = 903.99

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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.