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Finding the Fourth Proportional to 784.10, 1,081.82 and 448.01

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Solution

The fourth proportional to 784.10, 1,081.82 and 448.01 is: 618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.10 : 1,081.82 = 448.01 : x
  2. Step 2: Convert to fraction form
    784.10/1,081.82 = 448.01/x
  3. Step 3: Cross multiply
    784.10x = 1,081.82 × 448.01
  4. Step 4: Simplify right side
    784.10x = 484,658.53
  5. Step 5: Solve for x
    x = 484,658.53/784.10
  6. Step 6: Final answer
    x = 618.11

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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.