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Finding the Fourth Proportional to 1,035.44, 1,431.72 and 1,018.76

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Solution

The fourth proportional to 1,035.44, 1,431.72 and 1,018.76 is: 1,408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.44 : 1,431.72 = 1,018.76 : x
  2. Step 2: Convert to fraction form
    1,035.44/1,431.72 = 1,018.76/x
  3. Step 3: Cross multiply
    1,035.44x = 1,431.72 × 1,018.76
  4. Step 4: Simplify right side
    1,035.44x = 1,458,579.07
  5. Step 5: Solve for x
    x = 1,458,579.07/1,035.44
  6. Step 6: Final answer
    x = 1,408.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.