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Finding the Fourth Proportional to 1,065.07, 1,596.65 and 415.65

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Solution

The fourth proportional to 1,065.07, 1,596.65 and 415.65 is: 623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.07 : 1,596.65 = 415.65 : x
  2. Step 2: Convert to fraction form
    1,065.07/1,596.65 = 415.65/x
  3. Step 3: Cross multiply
    1,065.07x = 1,596.65 × 415.65
  4. Step 4: Simplify right side
    1,065.07x = 663,647.57
  5. Step 5: Solve for x
    x = 663,647.57/1,065.07
  6. Step 6: Final answer
    x = 623.10

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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.