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Finding the Fourth Proportional to 946.74, 1,305.92 and 652.16

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Solution

The fourth proportional to 946.74, 1,305.92 and 652.16 is: 899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.74 : 1,305.92 = 652.16 : x
  2. Step 2: Convert to fraction form
    946.74/1,305.92 = 652.16/x
  3. Step 3: Cross multiply
    946.74x = 1,305.92 × 652.16
  4. Step 4: Simplify right side
    946.74x = 851,668.79
  5. Step 5: Solve for x
    x = 851,668.79/946.74
  6. Step 6: Final answer
    x = 899.58

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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.