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Finding the Fourth Proportional to 1,157.58, 1,597.47 and 633.63

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Solution

The fourth proportional to 1,157.58, 1,597.47 and 633.63 is: 874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.58 : 1,597.47 = 633.63 : x
  2. Step 2: Convert to fraction form
    1,157.58/1,597.47 = 633.63/x
  3. Step 3: Cross multiply
    1,157.58x = 1,597.47 × 633.63
  4. Step 4: Simplify right side
    1,157.58x = 1,012,204.92
  5. Step 5: Solve for x
    x = 1,012,204.92/1,157.58
  6. Step 6: Final answer
    x = 874.41

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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.