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Finding the Fourth Proportional to 1,145.69, 1,718.84 and 415.37

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Solution

The fourth proportional to 1,145.69, 1,718.84 and 415.37 is: 623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.69 : 1,718.84 = 415.37 : x
  2. Step 2: Convert to fraction form
    1,145.69/1,718.84 = 415.37/x
  3. Step 3: Cross multiply
    1,145.69x = 1,718.84 × 415.37
  4. Step 4: Simplify right side
    1,145.69x = 713,956.79
  5. Step 5: Solve for x
    x = 713,956.79/1,145.69
  6. Step 6: Final answer
    x = 623.17

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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.