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Finding the Fourth Proportional to 699.65, 1,051.68 and 392.11

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Solution

The fourth proportional to 699.65, 1,051.68 and 392.11 is: 589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.65 : 1,051.68 = 392.11 : x
  2. Step 2: Convert to fraction form
    699.65/1,051.68 = 392.11/x
  3. Step 3: Cross multiply
    699.65x = 1,051.68 × 392.11
  4. Step 4: Simplify right side
    699.65x = 412,373.09
  5. Step 5: Solve for x
    x = 412,373.09/699.65
  6. Step 6: Final answer
    x = 589.40

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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.