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Finding the Fourth Proportional to 1,135.01, 1,702.75 and 404.57

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Solution

The fourth proportional to 1,135.01, 1,702.75 and 404.57 is: 606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.01 : 1,702.75 = 404.57 : x
  2. Step 2: Convert to fraction form
    1,135.01/1,702.75 = 404.57/x
  3. Step 3: Cross multiply
    1,135.01x = 1,702.75 × 404.57
  4. Step 4: Simplify right side
    1,135.01x = 688,881.57
  5. Step 5: Solve for x
    x = 688,881.57/1,135.01
  6. Step 6: Final answer
    x = 606.94

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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.