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Finding the Fourth Proportional to 1,624.84, 2,437.50 and 470.44

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Solution

The fourth proportional to 1,624.84, 2,437.50 and 470.44 is: 705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.84 : 2,437.50 = 470.44 : x
  2. Step 2: Convert to fraction form
    1,624.84/2,437.50 = 470.44/x
  3. Step 3: Cross multiply
    1,624.84x = 2,437.50 × 470.44
  4. Step 4: Simplify right side
    1,624.84x = 1,146,697.50
  5. Step 5: Solve for x
    x = 1,146,697.50/1,624.84
  6. Step 6: Final answer
    x = 705.73

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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.