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Finding the Fourth Proportional to 1,521.64, 2,282 and 655.76

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Solution

The fourth proportional to 1,521.64, 2,282 and 655.76 is: 983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.64 : 2,282 = 655.76 : x
  2. Step 2: Convert to fraction form
    1,521.64/2,282 = 655.76/x
  3. Step 3: Cross multiply
    1,521.64x = 2,282 × 655.76
  4. Step 4: Simplify right side
    1,521.64x = 1,496,444.32
  5. Step 5: Solve for x
    x = 1,496,444.32/1,521.64
  6. Step 6: Final answer
    x = 983.44

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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.