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Finding the Fourth Proportional to 1,157.55, 1,599.65 and 877.56

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Solution

The fourth proportional to 1,157.55, 1,599.65 and 877.56 is: 1,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.55 : 1,599.65 = 877.56 : x
  2. Step 2: Convert to fraction form
    1,157.55/1,599.65 = 877.56/x
  3. Step 3: Cross multiply
    1,157.55x = 1,599.65 × 877.56
  4. Step 4: Simplify right side
    1,157.55x = 1,403,788.85
  5. Step 5: Solve for x
    x = 1,403,788.85/1,157.55
  6. Step 6: Final answer
    x = 1,212.72

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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.