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Finding the Fourth Proportional to 1,703.34, 2,555.21 and 607.86

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Solution

The fourth proportional to 1,703.34, 2,555.21 and 607.86 is: 911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.34 : 2,555.21 = 607.86 : x
  2. Step 2: Convert to fraction form
    1,703.34/2,555.21 = 607.86/x
  3. Step 3: Cross multiply
    1,703.34x = 2,555.21 × 607.86
  4. Step 4: Simplify right side
    1,703.34x = 1,553,209.95
  5. Step 5: Solve for x
    x = 1,553,209.95/1,703.34
  6. Step 6: Final answer
    x = 911.86

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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.