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Finding the Fourth Proportional to 1,091.84, 1,629.32 and 975.03

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Solution

The fourth proportional to 1,091.84, 1,629.32 and 975.03 is: 1,455.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.84 : 1,629.32 = 975.03 : x
  2. Step 2: Convert to fraction form
    1,091.84/1,629.32 = 975.03/x
  3. Step 3: Cross multiply
    1,091.84x = 1,629.32 × 975.03
  4. Step 4: Simplify right side
    1,091.84x = 1,588,635.88
  5. Step 5: Solve for x
    x = 1,588,635.88/1,091.84
  6. Step 6: Final answer
    x = 1,455.01

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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.