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Finding the Fourth Proportional to 1,313.57, 1,970.41 and 436.15

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Solution

The fourth proportional to 1,313.57, 1,970.41 and 436.15 is: 654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.57 : 1,970.41 = 436.15 : x
  2. Step 2: Convert to fraction form
    1,313.57/1,970.41 = 436.15/x
  3. Step 3: Cross multiply
    1,313.57x = 1,970.41 × 436.15
  4. Step 4: Simplify right side
    1,313.57x = 859,382.29
  5. Step 5: Solve for x
    x = 859,382.29/1,313.57
  6. Step 6: Final answer
    x = 654.24

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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.