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Finding the Fourth Proportional to 1,037.36, 1,431.50 and 617.74

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Solution

The fourth proportional to 1,037.36, 1,431.50 and 617.74 is: 852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.36 : 1,431.50 = 617.74 : x
  2. Step 2: Convert to fraction form
    1,037.36/1,431.50 = 617.74/x
  3. Step 3: Cross multiply
    1,037.36x = 1,431.50 × 617.74
  4. Step 4: Simplify right side
    1,037.36x = 884,294.81
  5. Step 5: Solve for x
    x = 884,294.81/1,037.36
  6. Step 6: Final answer
    x = 852.45

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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.