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Finding the Fourth Proportional to 1,313.36, 1,970.19 and 435.98

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Solution

The fourth proportional to 1,313.36, 1,970.19 and 435.98 is: 654.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.36 : 1,970.19 = 435.98 : x
  2. Step 2: Convert to fraction form
    1,313.36/1,970.19 = 435.98/x
  3. Step 3: Cross multiply
    1,313.36x = 1,970.19 × 435.98
  4. Step 4: Simplify right side
    1,313.36x = 858,963.44
  5. Step 5: Solve for x
    x = 858,963.44/1,313.36
  6. Step 6: Final answer
    x = 654.02

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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.