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Finding the Fourth Proportional to 1,037.40, 1,431.41 and 644.19

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Solution

The fourth proportional to 1,037.40, 1,431.41 and 644.19 is: 888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.40 : 1,431.41 = 644.19 : x
  2. Step 2: Convert to fraction form
    1,037.40/1,431.41 = 644.19/x
  3. Step 3: Cross multiply
    1,037.40x = 1,431.41 × 644.19
  4. Step 4: Simplify right side
    1,037.40x = 922,096.79
  5. Step 5: Solve for x
    x = 922,096.79/1,037.40
  6. Step 6: Final answer
    x = 888.85

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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.