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Finding the Fourth Proportional to 1,114.20, 1,671.30 and 970.20

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Solution

The fourth proportional to 1,114.20, 1,671.30 and 970.20 is: 1,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.20 : 1,671.30 = 970.20 : x
  2. Step 2: Convert to fraction form
    1,114.20/1,671.30 = 970.20/x
  3. Step 3: Cross multiply
    1,114.20x = 1,671.30 × 970.20
  4. Step 4: Simplify right side
    1,114.20x = 1,621,495.26
  5. Step 5: Solve for x
    x = 1,621,495.26/1,114.20
  6. Step 6: Final answer
    x = 1,455.30

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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.