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Finding the Fourth Proportional to 1,411.75, 2,117.60 and 631.57

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Solution

The fourth proportional to 1,411.75, 2,117.60 and 631.57 is: 947.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.75 : 2,117.60 = 631.57 : x
  2. Step 2: Convert to fraction form
    1,411.75/2,117.60 = 631.57/x
  3. Step 3: Cross multiply
    1,411.75x = 2,117.60 × 631.57
  4. Step 4: Simplify right side
    1,411.75x = 1,337,409.47
  5. Step 5: Solve for x
    x = 1,337,409.47/1,411.75
  6. Step 6: Final answer
    x = 947.34

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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.