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Finding the Fourth Proportional to 1,045.68, 1,441.89 and 1,035.15

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Solution

The fourth proportional to 1,045.68, 1,441.89 and 1,035.15 is: 1,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.68 : 1,441.89 = 1,035.15 : x
  2. Step 2: Convert to fraction form
    1,045.68/1,441.89 = 1,035.15/x
  3. Step 3: Cross multiply
    1,045.68x = 1,441.89 × 1,035.15
  4. Step 4: Simplify right side
    1,045.68x = 1,492,572.43
  5. Step 5: Solve for x
    x = 1,492,572.43/1,045.68
  6. Step 6: Final answer
    x = 1,427.37

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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.