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Finding the Fourth Proportional to 1,116, 1,528.64 and 1,101.92

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Solution

The fourth proportional to 1,116, 1,528.64 and 1,101.92 is: 1,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116 : 1,528.64 = 1,101.92 : x
  2. Step 2: Convert to fraction form
    1,116/1,528.64 = 1,101.92/x
  3. Step 3: Cross multiply
    1,116x = 1,528.64 × 1,101.92
  4. Step 4: Simplify right side
    1,116x = 1,684,438.99
  5. Step 5: Solve for x
    x = 1,684,438.99/1,116
  6. Step 6: Final answer
    x = 1,509.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.