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Finding the Fourth Proportional to 1,624.73, 2,437.48 and 529.10

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Solution

The fourth proportional to 1,624.73, 2,437.48 and 529.10 is: 793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.73 : 2,437.48 = 529.10 : x
  2. Step 2: Convert to fraction form
    1,624.73/2,437.48 = 529.10/x
  3. Step 3: Cross multiply
    1,624.73x = 2,437.48 × 529.10
  4. Step 4: Simplify right side
    1,624.73x = 1,289,658.48
  5. Step 5: Solve for x
    x = 1,289,658.48/1,624.73
  6. Step 6: Final answer
    x = 793.77

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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.