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Finding the Fourth Proportional to 1,045.85, 1,443.26 and 603.74

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Solution

The fourth proportional to 1,045.85, 1,443.26 and 603.74 is: 833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.85 : 1,443.26 = 603.74 : x
  2. Step 2: Convert to fraction form
    1,045.85/1,443.26 = 603.74/x
  3. Step 3: Cross multiply
    1,045.85x = 1,443.26 × 603.74
  4. Step 4: Simplify right side
    1,045.85x = 871,353.79
  5. Step 5: Solve for x
    x = 871,353.79/1,045.85
  6. Step 6: Final answer
    x = 833.15

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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.