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Finding the Fourth Proportional to 1,317.02, 1,976.91 and 970.75

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Solution

The fourth proportional to 1,317.02, 1,976.91 and 970.75 is: 1,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.02 : 1,976.91 = 970.75 : x
  2. Step 2: Convert to fraction form
    1,317.02/1,976.91 = 970.75/x
  3. Step 3: Cross multiply
    1,317.02x = 1,976.91 × 970.75
  4. Step 4: Simplify right side
    1,317.02x = 1,919,080.44
  5. Step 5: Solve for x
    x = 1,919,080.44/1,317.02
  6. Step 6: Final answer
    x = 1,457.14

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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.