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Finding the Fourth Proportional to 1,580.72, 2,370.84 and 607.28

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Solution

The fourth proportional to 1,580.72, 2,370.84 and 607.28 is: 910.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.72 : 2,370.84 = 607.28 : x
  2. Step 2: Convert to fraction form
    1,580.72/2,370.84 = 607.28/x
  3. Step 3: Cross multiply
    1,580.72x = 2,370.84 × 607.28
  4. Step 4: Simplify right side
    1,580.72x = 1,439,763.72
  5. Step 5: Solve for x
    x = 1,439,763.72/1,580.72
  6. Step 6: Final answer
    x = 910.83

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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.