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Finding the Fourth Proportional to 1,045.89, 1,441.64 and 709.68

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Solution

The fourth proportional to 1,045.89, 1,441.64 and 709.68 is: 978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.89 : 1,441.64 = 709.68 : x
  2. Step 2: Convert to fraction form
    1,045.89/1,441.64 = 709.68/x
  3. Step 3: Cross multiply
    1,045.89x = 1,441.64 × 709.68
  4. Step 4: Simplify right side
    1,045.89x = 1,023,103.08
  5. Step 5: Solve for x
    x = 1,023,103.08/1,045.89
  6. Step 6: Final answer
    x = 978.21

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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.