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Finding the Fourth Proportional to 1,114.02, 1,671.84 and 465.30

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Solution

The fourth proportional to 1,114.02, 1,671.84 and 465.30 is: 698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.02 : 1,671.84 = 465.30 : x
  2. Step 2: Convert to fraction form
    1,114.02/1,671.84 = 465.30/x
  3. Step 3: Cross multiply
    1,114.02x = 1,671.84 × 465.30
  4. Step 4: Simplify right side
    1,114.02x = 777,907.15
  5. Step 5: Solve for x
    x = 777,907.15/1,114.02
  6. Step 6: Final answer
    x = 698.29

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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.