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Finding the Fourth Proportional to 832.51, 1,148.88 and 459.48

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Solution

The fourth proportional to 832.51, 1,148.88 and 459.48 is: 634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.51 : 1,148.88 = 459.48 : x
  2. Step 2: Convert to fraction form
    832.51/1,148.88 = 459.48/x
  3. Step 3: Cross multiply
    832.51x = 1,148.88 × 459.48
  4. Step 4: Simplify right side
    832.51x = 527,887.38
  5. Step 5: Solve for x
    x = 527,887.38/832.51
  6. Step 6: Final answer
    x = 634.09

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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.