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Finding the Fourth Proportional to 983.84, 1,475.76 and 469.28

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Solution

The fourth proportional to 983.84, 1,475.76 and 469.28 is: 703.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.84 : 1,475.76 = 469.28 : x
  2. Step 2: Convert to fraction form
    983.84/1,475.76 = 469.28/x
  3. Step 3: Cross multiply
    983.84x = 1,475.76 × 469.28
  4. Step 4: Simplify right side
    983.84x = 692,544.65
  5. Step 5: Solve for x
    x = 692,544.65/983.84
  6. Step 6: Final answer
    x = 703.92

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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.