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Finding the Fourth Proportional to 1,124.19, 1,685.14 and 465.15

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Solution

The fourth proportional to 1,124.19, 1,685.14 and 465.15 is: 697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.19 : 1,685.14 = 465.15 : x
  2. Step 2: Convert to fraction form
    1,124.19/1,685.14 = 465.15/x
  3. Step 3: Cross multiply
    1,124.19x = 1,685.14 × 465.15
  4. Step 4: Simplify right side
    1,124.19x = 783,850.35
  5. Step 5: Solve for x
    x = 783,850.35/1,124.19
  6. Step 6: Final answer
    x = 697.26

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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.