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Finding the Fourth Proportional to 1,114.32, 1,671.84 and 465.12

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Solution

The fourth proportional to 1,114.32, 1,671.84 and 465.12 is: 697.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.32 : 1,671.84 = 465.12 : x
  2. Step 2: Convert to fraction form
    1,114.32/1,671.84 = 465.12/x
  3. Step 3: Cross multiply
    1,114.32x = 1,671.84 × 465.12
  4. Step 4: Simplify right side
    1,114.32x = 777,606.22
  5. Step 5: Solve for x
    x = 777,606.22/1,114.32
  6. Step 6: Final answer
    x = 697.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.