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Finding the Fourth Proportional to 1,049.56, 1,573.64 and 587.39

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Solution

The fourth proportional to 1,049.56, 1,573.64 and 587.39 is: 880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.56 : 1,573.64 = 587.39 : x
  2. Step 2: Convert to fraction form
    1,049.56/1,573.64 = 587.39/x
  3. Step 3: Cross multiply
    1,049.56x = 1,573.64 × 587.39
  4. Step 4: Simplify right side
    1,049.56x = 924,332.53
  5. Step 5: Solve for x
    x = 924,332.53/1,049.56
  6. Step 6: Final answer
    x = 880.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.