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Finding the Fourth Proportional to 1,313.66, 1,970.38 and 435.87

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Solution

The fourth proportional to 1,313.66, 1,970.38 and 435.87 is: 653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.66 : 1,970.38 = 435.87 : x
  2. Step 2: Convert to fraction form
    1,313.66/1,970.38 = 435.87/x
  3. Step 3: Cross multiply
    1,313.66x = 1,970.38 × 435.87
  4. Step 4: Simplify right side
    1,313.66x = 858,827.35
  5. Step 5: Solve for x
    x = 858,827.35/1,313.66
  6. Step 6: Final answer
    x = 653.77

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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.