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Finding the Fourth Proportional to 1,115.88, 1,671.80 and 465.45

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Solution

The fourth proportional to 1,115.88, 1,671.80 and 465.45 is: 697.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.88 : 1,671.80 = 465.45 : x
  2. Step 2: Convert to fraction form
    1,115.88/1,671.80 = 465.45/x
  3. Step 3: Cross multiply
    1,115.88x = 1,671.80 × 465.45
  4. Step 4: Simplify right side
    1,115.88x = 778,136.98
  5. Step 5: Solve for x
    x = 778,136.98/1,115.88
  6. Step 6: Final answer
    x = 697.33

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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.