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Finding the Fourth Proportional to 1,076, 1,485.36 and 662.24

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Solution

The fourth proportional to 1,076, 1,485.36 and 662.24 is: 914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076 : 1,485.36 = 662.24 : x
  2. Step 2: Convert to fraction form
    1,076/1,485.36 = 662.24/x
  3. Step 3: Cross multiply
    1,076x = 1,485.36 × 662.24
  4. Step 4: Simplify right side
    1,076x = 983,664.81
  5. Step 5: Solve for x
    x = 983,664.81/1,076
  6. Step 6: Final answer
    x = 914.19

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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.