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Finding the Fourth Proportional to 1,404.74, 2,105.39 and 710.37

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Solution

The fourth proportional to 1,404.74, 2,105.39 and 710.37 is: 1,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.74 : 2,105.39 = 710.37 : x
  2. Step 2: Convert to fraction form
    1,404.74/2,105.39 = 710.37/x
  3. Step 3: Cross multiply
    1,404.74x = 2,105.39 × 710.37
  4. Step 4: Simplify right side
    1,404.74x = 1,495,607.67
  5. Step 5: Solve for x
    x = 1,495,607.67/1,404.74
  6. Step 6: Final answer
    x = 1,064.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.