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Finding the Fourth Proportional to 1,390.66, 2,086.44 and 466.65

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Solution

The fourth proportional to 1,390.66, 2,086.44 and 466.65 is: 700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.66 : 2,086.44 = 466.65 : x
  2. Step 2: Convert to fraction form
    1,390.66/2,086.44 = 466.65/x
  3. Step 3: Cross multiply
    1,390.66x = 2,086.44 × 466.65
  4. Step 4: Simplify right side
    1,390.66x = 973,637.23
  5. Step 5: Solve for x
    x = 973,637.23/1,390.66
  6. Step 6: Final answer
    x = 700.13

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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.