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Finding the Fourth Proportional to 999.69, 1,497.66 and 587.60

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Solution

The fourth proportional to 999.69, 1,497.66 and 587.60 is: 880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.69 : 1,497.66 = 587.60 : x
  2. Step 2: Convert to fraction form
    999.69/1,497.66 = 587.60/x
  3. Step 3: Cross multiply
    999.69x = 1,497.66 × 587.60
  4. Step 4: Simplify right side
    999.69x = 880,017.53
  5. Step 5: Solve for x
    x = 880,017.53/999.69
  6. Step 6: Final answer
    x = 880.29

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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.