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Finding the Fourth Proportional to 904.81, 1,248.64 and 490.81

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Solution

The fourth proportional to 904.81, 1,248.64 and 490.81 is: 677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.81 : 1,248.64 = 490.81 : x
  2. Step 2: Convert to fraction form
    904.81/1,248.64 = 490.81/x
  3. Step 3: Cross multiply
    904.81x = 1,248.64 × 490.81
  4. Step 4: Simplify right side
    904.81x = 612,845.00
  5. Step 5: Solve for x
    x = 612,845.00/904.81
  6. Step 6: Final answer
    x = 677.32

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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.