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Finding the Fourth Proportional to 1,653.96, 2,283.28 and 1,064.82

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Solution

The fourth proportional to 1,653.96, 2,283.28 and 1,064.82 is: 1,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.96 : 2,283.28 = 1,064.82 : x
  2. Step 2: Convert to fraction form
    1,653.96/2,283.28 = 1,064.82/x
  3. Step 3: Cross multiply
    1,653.96x = 2,283.28 × 1,064.82
  4. Step 4: Simplify right side
    1,653.96x = 2,431,282.21
  5. Step 5: Solve for x
    x = 2,431,282.21/1,653.96
  6. Step 6: Final answer
    x = 1,469.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.