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Finding the Fourth Proportional to 1,312.94, 1,967.56 and 696.94

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Solution

The fourth proportional to 1,312.94, 1,967.56 and 696.94 is: 1,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.94 : 1,967.56 = 696.94 : x
  2. Step 2: Convert to fraction form
    1,312.94/1,967.56 = 696.94/x
  3. Step 3: Cross multiply
    1,312.94x = 1,967.56 × 696.94
  4. Step 4: Simplify right side
    1,312.94x = 1,371,264.61
  5. Step 5: Solve for x
    x = 1,371,264.61/1,312.94
  6. Step 6: Final answer
    x = 1,044.42

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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.