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Finding the Fourth Proportional to 1,694.09, 2,541.53 and 583.55

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Solution

The fourth proportional to 1,694.09, 2,541.53 and 583.55 is: 875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.09 : 2,541.53 = 583.55 : x
  2. Step 2: Convert to fraction form
    1,694.09/2,541.53 = 583.55/x
  3. Step 3: Cross multiply
    1,694.09x = 2,541.53 × 583.55
  4. Step 4: Simplify right side
    1,694.09x = 1,483,094.21
  5. Step 5: Solve for x
    x = 1,483,094.21/1,694.09
  6. Step 6: Final answer
    x = 875.45

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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.