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Finding the Fourth Proportional to 1,064.40, 1,596.28 and 370.94

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Solution

The fourth proportional to 1,064.40, 1,596.28 and 370.94 is: 556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.40 : 1,596.28 = 370.94 : x
  2. Step 2: Convert to fraction form
    1,064.40/1,596.28 = 370.94/x
  3. Step 3: Cross multiply
    1,064.40x = 1,596.28 × 370.94
  4. Step 4: Simplify right side
    1,064.40x = 592,118.06
  5. Step 5: Solve for x
    x = 592,118.06/1,064.40
  6. Step 6: Final answer
    x = 556.29

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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.