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Finding the Fourth Proportional to 1,522.64, 2,284.50 and 657.02

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Solution

The fourth proportional to 1,522.64, 2,284.50 and 657.02 is: 985.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.64 : 2,284.50 = 657.02 : x
  2. Step 2: Convert to fraction form
    1,522.64/2,284.50 = 657.02/x
  3. Step 3: Cross multiply
    1,522.64x = 2,284.50 × 657.02
  4. Step 4: Simplify right side
    1,522.64x = 1,500,962.19
  5. Step 5: Solve for x
    x = 1,500,962.19/1,522.64
  6. Step 6: Final answer
    x = 985.76

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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.