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Finding the Fourth Proportional to 670.16, 1,009.81 and 551.09

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Solution

The fourth proportional to 670.16, 1,009.81 and 551.09 is: 830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.16 : 1,009.81 = 551.09 : x
  2. Step 2: Convert to fraction form
    670.16/1,009.81 = 551.09/x
  3. Step 3: Cross multiply
    670.16x = 1,009.81 × 551.09
  4. Step 4: Simplify right side
    670.16x = 556,496.19
  5. Step 5: Solve for x
    x = 556,496.19/670.16
  6. Step 6: Final answer
    x = 830.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.