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Finding the Fourth Proportional to 1,688.70, 2,532.84 and 456.18

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Solution

The fourth proportional to 1,688.70, 2,532.84 and 456.18 is: 684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.70 : 2,532.84 = 456.18 : x
  2. Step 2: Convert to fraction form
    1,688.70/2,532.84 = 456.18/x
  3. Step 3: Cross multiply
    1,688.70x = 2,532.84 × 456.18
  4. Step 4: Simplify right side
    1,688.70x = 1,155,430.95
  5. Step 5: Solve for x
    x = 1,155,430.95/1,688.70
  6. Step 6: Final answer
    x = 684.21

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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.