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Finding the Fourth Proportional to 893.02, 1,337.55 and 686.07

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Solution

The fourth proportional to 893.02, 1,337.55 and 686.07 is: 1,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.02 : 1,337.55 = 686.07 : x
  2. Step 2: Convert to fraction form
    893.02/1,337.55 = 686.07/x
  3. Step 3: Cross multiply
    893.02x = 1,337.55 × 686.07
  4. Step 4: Simplify right side
    893.02x = 917,652.93
  5. Step 5: Solve for x
    x = 917,652.93/893.02
  6. Step 6: Final answer
    x = 1,027.58

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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.