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Finding the Fourth Proportional to 1,312.11, 1,968.21 and 1,070.31

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Solution

The fourth proportional to 1,312.11, 1,968.21 and 1,070.31 is: 1,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.11 : 1,968.21 = 1,070.31 : x
  2. Step 2: Convert to fraction form
    1,312.11/1,968.21 = 1,070.31/x
  3. Step 3: Cross multiply
    1,312.11x = 1,968.21 × 1,070.31
  4. Step 4: Simplify right side
    1,312.11x = 2,106,594.85
  5. Step 5: Solve for x
    x = 2,106,594.85/1,312.11
  6. Step 6: Final answer
    x = 1,605.50

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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.