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Finding the Fourth Proportional to 732.08, 1,009.76 and 466.16

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Solution

The fourth proportional to 732.08, 1,009.76 and 466.16 is: 642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.08 : 1,009.76 = 466.16 : x
  2. Step 2: Convert to fraction form
    732.08/1,009.76 = 466.16/x
  3. Step 3: Cross multiply
    732.08x = 1,009.76 × 466.16
  4. Step 4: Simplify right side
    732.08x = 470,709.72
  5. Step 5: Solve for x
    x = 470,709.72/732.08
  6. Step 6: Final answer
    x = 642.98

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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.