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Finding the Fourth Proportional to 1,004.49, 1,508.85 and 614.67

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Solution

The fourth proportional to 1,004.49, 1,508.85 and 614.67 is: 923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.49 : 1,508.85 = 614.67 : x
  2. Step 2: Convert to fraction form
    1,004.49/1,508.85 = 614.67/x
  3. Step 3: Cross multiply
    1,004.49x = 1,508.85 × 614.67
  4. Step 4: Simplify right side
    1,004.49x = 927,444.83
  5. Step 5: Solve for x
    x = 927,444.83/1,004.49
  6. Step 6: Final answer
    x = 923.30

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1.5x scale

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.