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Finding the Fourth Proportional to 1,210.32, 1,669.86 and 712.80

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Solution

The fourth proportional to 1,210.32, 1,669.86 and 712.80 is: 983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.32 : 1,669.86 = 712.80 : x
  2. Step 2: Convert to fraction form
    1,210.32/1,669.86 = 712.80/x
  3. Step 3: Cross multiply
    1,210.32x = 1,669.86 × 712.80
  4. Step 4: Simplify right side
    1,210.32x = 1,190,276.21
  5. Step 5: Solve for x
    x = 1,190,276.21/1,210.32
  6. Step 6: Final answer
    x = 983.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.