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Finding the Fourth Proportional to 1,312.92, 1,968.34 and 900.80

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Solution

The fourth proportional to 1,312.92, 1,968.34 and 900.80 is: 1,350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.92 : 1,968.34 = 900.80 : x
  2. Step 2: Convert to fraction form
    1,312.92/1,968.34 = 900.80/x
  3. Step 3: Cross multiply
    1,312.92x = 1,968.34 × 900.80
  4. Step 4: Simplify right side
    1,312.92x = 1,773,080.67
  5. Step 5: Solve for x
    x = 1,773,080.67/1,312.92
  6. Step 6: Final answer
    x = 1,350.49

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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.