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Finding the Fourth Proportional to 1,715.78, 2,574.04 and 620.02

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Solution

The fourth proportional to 1,715.78, 2,574.04 and 620.02 is: 930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.78 : 2,574.04 = 620.02 : x
  2. Step 2: Convert to fraction form
    1,715.78/2,574.04 = 620.02/x
  3. Step 3: Cross multiply
    1,715.78x = 2,574.04 × 620.02
  4. Step 4: Simplify right side
    1,715.78x = 1,595,956.28
  5. Step 5: Solve for x
    x = 1,595,956.28/1,715.78
  6. Step 6: Final answer
    x = 930.16

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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.