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Finding the Fourth Proportional to 922.64, 1,382.94 and 460.81

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Solution

The fourth proportional to 922.64, 1,382.94 and 460.81 is: 690.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.64 : 1,382.94 = 460.81 : x
  2. Step 2: Convert to fraction form
    922.64/1,382.94 = 460.81/x
  3. Step 3: Cross multiply
    922.64x = 1,382.94 × 460.81
  4. Step 4: Simplify right side
    922.64x = 637,267.50
  5. Step 5: Solve for x
    x = 637,267.50/922.64
  6. Step 6: Final answer
    x = 690.70

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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.