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Finding the Fourth Proportional to 1,064.16, 1,596.24 and 486.72

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Solution

The fourth proportional to 1,064.16, 1,596.24 and 486.72 is: 730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.16 : 1,596.24 = 486.72 : x
  2. Step 2: Convert to fraction form
    1,064.16/1,596.24 = 486.72/x
  3. Step 3: Cross multiply
    1,064.16x = 1,596.24 × 486.72
  4. Step 4: Simplify right side
    1,064.16x = 776,911.52
  5. Step 5: Solve for x
    x = 776,911.52/1,064.16
  6. Step 6: Final answer
    x = 730.07

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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.