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Finding the Fourth Proportional to 1,531.05, 2,297.75 and 709.40

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Solution

The fourth proportional to 1,531.05, 2,297.75 and 709.40 is: 1,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.05 : 2,297.75 = 709.40 : x
  2. Step 2: Convert to fraction form
    1,531.05/2,297.75 = 709.40/x
  3. Step 3: Cross multiply
    1,531.05x = 2,297.75 × 709.40
  4. Step 4: Simplify right side
    1,531.05x = 1,630,008.81
  5. Step 5: Solve for x
    x = 1,630,008.81/1,531.05
  6. Step 6: Final answer
    x = 1,064.63

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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.