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Finding the Fourth Proportional to 1,210.42, 1,670.07 and 712.87

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Solution

The fourth proportional to 1,210.42, 1,670.07 and 712.87 is: 983.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.42 : 1,670.07 = 712.87 : x
  2. Step 2: Convert to fraction form
    1,210.42/1,670.07 = 712.87/x
  3. Step 3: Cross multiply
    1,210.42x = 1,670.07 × 712.87
  4. Step 4: Simplify right side
    1,210.42x = 1,190,542.80
  5. Step 5: Solve for x
    x = 1,190,542.80/1,210.42
  6. Step 6: Final answer
    x = 983.58

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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.