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Finding the Fourth Proportional to 1,130.82, 1,560.32 and 633.47

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Solution

The fourth proportional to 1,130.82, 1,560.32 and 633.47 is: 874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.82 : 1,560.32 = 633.47 : x
  2. Step 2: Convert to fraction form
    1,130.82/1,560.32 = 633.47/x
  3. Step 3: Cross multiply
    1,130.82x = 1,560.32 × 633.47
  4. Step 4: Simplify right side
    1,130.82x = 988,407.32
  5. Step 5: Solve for x
    x = 988,407.32/1,130.82
  6. Step 6: Final answer
    x = 874.07

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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.