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Finding the Fourth Proportional to 1,507.14, 2,257.02 and 858.30

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Solution

The fourth proportional to 1,507.14, 2,257.02 and 858.30 is: 1,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.14 : 2,257.02 = 858.30 : x
  2. Step 2: Convert to fraction form
    1,507.14/2,257.02 = 858.30/x
  3. Step 3: Cross multiply
    1,507.14x = 2,257.02 × 858.30
  4. Step 4: Simplify right side
    1,507.14x = 1,937,200.27
  5. Step 5: Solve for x
    x = 1,937,200.27/1,507.14
  6. Step 6: Final answer
    x = 1,285.35

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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.