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Finding the Fourth Proportional to 1,037.49, 1,556.24 and 420.78

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Solution

The fourth proportional to 1,037.49, 1,556.24 and 420.78 is: 631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.49 : 1,556.24 = 420.78 : x
  2. Step 2: Convert to fraction form
    1,037.49/1,556.24 = 420.78/x
  3. Step 3: Cross multiply
    1,037.49x = 1,556.24 × 420.78
  4. Step 4: Simplify right side
    1,037.49x = 654,832.56
  5. Step 5: Solve for x
    x = 654,832.56/1,037.49
  6. Step 6: Final answer
    x = 631.17

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.