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Finding the Fourth Proportional to 1,065.00, 1,596.95 and 487.38

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Solution

The fourth proportional to 1,065.00, 1,596.95 and 487.38 is: 730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.00 : 1,596.95 = 487.38 : x
  2. Step 2: Convert to fraction form
    1,065.00/1,596.95 = 487.38/x
  3. Step 3: Cross multiply
    1,065.00x = 1,596.95 × 487.38
  4. Step 4: Simplify right side
    1,065.00x = 778,313.51
  5. Step 5: Solve for x
    x = 778,313.51/1,065.00
  6. Step 6: Final answer
    x = 730.81

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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.