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Finding the Fourth Proportional to 916.65, 1,265.36 and 585.09

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Solution

The fourth proportional to 916.65, 1,265.36 and 585.09 is: 807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.65 : 1,265.36 = 585.09 : x
  2. Step 2: Convert to fraction form
    916.65/1,265.36 = 585.09/x
  3. Step 3: Cross multiply
    916.65x = 1,265.36 × 585.09
  4. Step 4: Simplify right side
    916.65x = 740,346.56
  5. Step 5: Solve for x
    x = 740,346.56/916.65
  6. Step 6: Final answer
    x = 807.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.