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Finding the Fourth Proportional to 1,623.70, 2,434.65 and 648.70

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Solution

The fourth proportional to 1,623.70, 2,434.65 and 648.70 is: 972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.70 : 2,434.65 = 648.70 : x
  2. Step 2: Convert to fraction form
    1,623.70/2,434.65 = 648.70/x
  3. Step 3: Cross multiply
    1,623.70x = 2,434.65 × 648.70
  4. Step 4: Simplify right side
    1,623.70x = 1,579,357.46
  5. Step 5: Solve for x
    x = 1,579,357.46/1,623.70
  6. Step 6: Final answer
    x = 972.69

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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.