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Finding the Fourth Proportional to 1,312.92, 1,969.25 and 435.41

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Solution

The fourth proportional to 1,312.92, 1,969.25 and 435.41 is: 653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.92 : 1,969.25 = 435.41 : x
  2. Step 2: Convert to fraction form
    1,312.92/1,969.25 = 435.41/x
  3. Step 3: Cross multiply
    1,312.92x = 1,969.25 × 435.41
  4. Step 4: Simplify right side
    1,312.92x = 857,431.14
  5. Step 5: Solve for x
    x = 857,431.14/1,312.92
  6. Step 6: Final answer
    x = 653.07

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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.