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Finding the Fourth Proportional to 1,497.55, 2,246.33 and 523.66

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Solution

The fourth proportional to 1,497.55, 2,246.33 and 523.66 is: 785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.55 : 2,246.33 = 523.66 : x
  2. Step 2: Convert to fraction form
    1,497.55/2,246.33 = 523.66/x
  3. Step 3: Cross multiply
    1,497.55x = 2,246.33 × 523.66
  4. Step 4: Simplify right side
    1,497.55x = 1,176,313.17
  5. Step 5: Solve for x
    x = 1,176,313.17/1,497.55
  6. Step 6: Final answer
    x = 785.49

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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.