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Finding the Fourth Proportional to 1,522.32, 2,283.76 and 482.28

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Solution

The fourth proportional to 1,522.32, 2,283.76 and 482.28 is: 723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.32 : 2,283.76 = 482.28 : x
  2. Step 2: Convert to fraction form
    1,522.32/2,283.76 = 482.28/x
  3. Step 3: Cross multiply
    1,522.32x = 2,283.76 × 482.28
  4. Step 4: Simplify right side
    1,522.32x = 1,101,411.77
  5. Step 5: Solve for x
    x = 1,101,411.77/1,522.32
  6. Step 6: Final answer
    x = 723.51

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1.5x scale

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.