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Finding the Fourth Proportional to 1,314.01, 1,970.87 and 436.46

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Solution

The fourth proportional to 1,314.01, 1,970.87 and 436.46 is: 654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.01 : 1,970.87 = 436.46 : x
  2. Step 2: Convert to fraction form
    1,314.01/1,970.87 = 436.46/x
  3. Step 3: Cross multiply
    1,314.01x = 1,970.87 × 436.46
  4. Step 4: Simplify right side
    1,314.01x = 860,203.74
  5. Step 5: Solve for x
    x = 860,203.74/1,314.01
  6. Step 6: Final answer
    x = 654.64

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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.