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Finding the Fourth Proportional to 953.44, 1,315.74 and 560.69

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Solution

The fourth proportional to 953.44, 1,315.74 and 560.69 is: 773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.44 : 1,315.74 = 560.69 : x
  2. Step 2: Convert to fraction form
    953.44/1,315.74 = 560.69/x
  3. Step 3: Cross multiply
    953.44x = 1,315.74 × 560.69
  4. Step 4: Simplify right side
    953.44x = 737,722.26
  5. Step 5: Solve for x
    x = 737,722.26/953.44
  6. Step 6: Final answer
    x = 773.75

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Half scale
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Double scale
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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.