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Finding the Fourth Proportional to 1,478.08, 2,039.91 and 888.58

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Solution

The fourth proportional to 1,478.08, 2,039.91 and 888.58 is: 1,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.08 : 2,039.91 = 888.58 : x
  2. Step 2: Convert to fraction form
    1,478.08/2,039.91 = 888.58/x
  3. Step 3: Cross multiply
    1,478.08x = 2,039.91 × 888.58
  4. Step 4: Simplify right side
    1,478.08x = 1,812,623.23
  5. Step 5: Solve for x
    x = 1,812,623.23/1,478.08
  6. Step 6: Final answer
    x = 1,226.34

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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.