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Finding the Fourth Proportional to 1,050.93, 1,576.44 and 524.34

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Solution

The fourth proportional to 1,050.93, 1,576.44 and 524.34 is: 786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.93 : 1,576.44 = 524.34 : x
  2. Step 2: Convert to fraction form
    1,050.93/1,576.44 = 524.34/x
  3. Step 3: Cross multiply
    1,050.93x = 1,576.44 × 524.34
  4. Step 4: Simplify right side
    1,050.93x = 826,590.55
  5. Step 5: Solve for x
    x = 826,590.55/1,050.93
  6. Step 6: Final answer
    x = 786.53

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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.