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Finding the Fourth Proportional to 1,022.84, 1,534.32 and 292.53

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Solution

The fourth proportional to 1,022.84, 1,534.32 and 292.53 is: 438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.84 : 1,534.32 = 292.53 : x
  2. Step 2: Convert to fraction form
    1,022.84/1,534.32 = 292.53/x
  3. Step 3: Cross multiply
    1,022.84x = 1,534.32 × 292.53
  4. Step 4: Simplify right side
    1,022.84x = 448,827.78
  5. Step 5: Solve for x
    x = 448,827.78/1,022.84
  6. Step 6: Final answer
    x = 438.80

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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.