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Finding the Fourth Proportional to 966.34, 1,448.58 and 472.60

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Solution

The fourth proportional to 966.34, 1,448.58 and 472.60 is: 708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.34 : 1,448.58 = 472.60 : x
  2. Step 2: Convert to fraction form
    966.34/1,448.58 = 472.60/x
  3. Step 3: Cross multiply
    966.34x = 1,448.58 × 472.60
  4. Step 4: Simplify right side
    966.34x = 684,598.91
  5. Step 5: Solve for x
    x = 684,598.91/966.34
  6. Step 6: Final answer
    x = 708.45

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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.