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Finding the Fourth Proportional to 1,478.58, 2,213.01 and 1,316.58

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Solution

The fourth proportional to 1,478.58, 2,213.01 and 1,316.58 is: 1,970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.58 : 2,213.01 = 1,316.58 : x
  2. Step 2: Convert to fraction form
    1,478.58/2,213.01 = 1,316.58/x
  3. Step 3: Cross multiply
    1,478.58x = 2,213.01 × 1,316.58
  4. Step 4: Simplify right side
    1,478.58x = 2,913,604.71
  5. Step 5: Solve for x
    x = 2,913,604.71/1,478.58
  6. Step 6: Final answer
    x = 1,970.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.