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Finding the Fourth Proportional to 832.54, 1,148.89 and 459.51

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Solution

The fourth proportional to 832.54, 1,148.89 and 459.51 is: 634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.54 : 1,148.89 = 459.51 : x
  2. Step 2: Convert to fraction form
    832.54/1,148.89 = 459.51/x
  3. Step 3: Cross multiply
    832.54x = 1,148.89 × 459.51
  4. Step 4: Simplify right side
    832.54x = 527,918.40
  5. Step 5: Solve for x
    x = 527,918.40/832.54
  6. Step 6: Final answer
    x = 634.11

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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.