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Finding the Fourth Proportional to 1,032.64, 1,541.60 and 989.44

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Solution

The fourth proportional to 1,032.64, 1,541.60 and 989.44 is: 1,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.64 : 1,541.60 = 989.44 : x
  2. Step 2: Convert to fraction form
    1,032.64/1,541.60 = 989.44/x
  3. Step 3: Cross multiply
    1,032.64x = 1,541.60 × 989.44
  4. Step 4: Simplify right side
    1,032.64x = 1,525,320.70
  5. Step 5: Solve for x
    x = 1,525,320.70/1,032.64
  6. Step 6: Final answer
    x = 1,477.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.