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Finding the Fourth Proportional to 1,623.17, 2,434.76 and 583.48

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Solution

The fourth proportional to 1,623.17, 2,434.76 and 583.48 is: 875.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.17 : 2,434.76 = 583.48 : x
  2. Step 2: Convert to fraction form
    1,623.17/2,434.76 = 583.48/x
  3. Step 3: Cross multiply
    1,623.17x = 2,434.76 × 583.48
  4. Step 4: Simplify right side
    1,623.17x = 1,420,629.14
  5. Step 5: Solve for x
    x = 1,420,629.14/1,623.17
  6. Step 6: Final answer
    x = 875.22

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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.