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Finding the Fourth Proportional to 1,113.64, 1,671.32 and 420.48

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Solution

The fourth proportional to 1,113.64, 1,671.32 and 420.48 is: 631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.64 : 1,671.32 = 420.48 : x
  2. Step 2: Convert to fraction form
    1,113.64/1,671.32 = 420.48/x
  3. Step 3: Cross multiply
    1,113.64x = 1,671.32 × 420.48
  4. Step 4: Simplify right side
    1,113.64x = 702,756.63
  5. Step 5: Solve for x
    x = 702,756.63/1,113.64
  6. Step 6: Final answer
    x = 631.04

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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.