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Finding the Fourth Proportional to 1,135.14, 1,702.98 and 404.66

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Solution

The fourth proportional to 1,135.14, 1,702.98 and 404.66 is: 607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.14 : 1,702.98 = 404.66 : x
  2. Step 2: Convert to fraction form
    1,135.14/1,702.98 = 404.66/x
  3. Step 3: Cross multiply
    1,135.14x = 1,702.98 × 404.66
  4. Step 4: Simplify right side
    1,135.14x = 689,127.89
  5. Step 5: Solve for x
    x = 689,127.89/1,135.14
  6. Step 6: Final answer
    x = 607.09

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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.