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Finding the Fourth Proportional to 1,340.42, 2,010.69 and 609.53

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Solution

The fourth proportional to 1,340.42, 2,010.69 and 609.53 is: 914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.42 : 2,010.69 = 609.53 : x
  2. Step 2: Convert to fraction form
    1,340.42/2,010.69 = 609.53/x
  3. Step 3: Cross multiply
    1,340.42x = 2,010.69 × 609.53
  4. Step 4: Simplify right side
    1,340.42x = 1,225,565.82
  5. Step 5: Solve for x
    x = 1,225,565.82/1,340.42
  6. Step 6: Final answer
    x = 914.32

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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.