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Finding the Fourth Proportional to 619.40, 929.10 and 583

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Solution

The fourth proportional to 619.40, 929.10 and 583 is: 874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.40 : 929.10 = 583 : x
  2. Step 2: Convert to fraction form
    619.40/929.10 = 583/x
  3. Step 3: Cross multiply
    619.40x = 929.10 × 583
  4. Step 4: Simplify right side
    619.40x = 541,665.30
  5. Step 5: Solve for x
    x = 541,665.30/619.40
  6. Step 6: Final answer
    x = 874.50

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Similar ratio
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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.