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Finding the Fourth Proportional to 1,702.59, 2,554.64 and 607.73

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Solution

The fourth proportional to 1,702.59, 2,554.64 and 607.73 is: 911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.59 : 2,554.64 = 607.73 : x
  2. Step 2: Convert to fraction form
    1,702.59/2,554.64 = 607.73/x
  3. Step 3: Cross multiply
    1,702.59x = 2,554.64 × 607.73
  4. Step 4: Simplify right side
    1,702.59x = 1,552,525.02
  5. Step 5: Solve for x
    x = 1,552,525.02/1,702.59
  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.