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Finding the Fourth Proportional to 1,324.61, 1,828.08 and 800.63

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Solution

The fourth proportional to 1,324.61, 1,828.08 and 800.63 is: 1,104.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.61 : 1,828.08 = 800.63 : x
  2. Step 2: Convert to fraction form
    1,324.61/1,828.08 = 800.63/x
  3. Step 3: Cross multiply
    1,324.61x = 1,828.08 × 800.63
  4. Step 4: Simplify right side
    1,324.61x = 1,463,606.55
  5. Step 5: Solve for x
    x = 1,463,606.55/1,324.61
  6. Step 6: Final answer
    x = 1,104.94

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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.