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Finding the Fourth Proportional to 1,064.49, 1,596.76 and 406.16

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Solution

The fourth proportional to 1,064.49, 1,596.76 and 406.16 is: 609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.49 : 1,596.76 = 406.16 : x
  2. Step 2: Convert to fraction form
    1,064.49/1,596.76 = 406.16/x
  3. Step 3: Cross multiply
    1,064.49x = 1,596.76 × 406.16
  4. Step 4: Simplify right side
    1,064.49x = 648,532.06
  5. Step 5: Solve for x
    x = 648,532.06/1,064.49
  6. Step 6: Final answer
    x = 609.24

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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.