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Finding the Fourth Proportional to 1,598.48, 2,399.53 and 950.58

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Solution

The fourth proportional to 1,598.48, 2,399.53 and 950.58 is: 1,426.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.48 : 2,399.53 = 950.58 : x
  2. Step 2: Convert to fraction form
    1,598.48/2,399.53 = 950.58/x
  3. Step 3: Cross multiply
    1,598.48x = 2,399.53 × 950.58
  4. Step 4: Simplify right side
    1,598.48x = 2,280,933.23
  5. Step 5: Solve for x
    x = 2,280,933.23/1,598.48
  6. Step 6: Final answer
    x = 1,426.94

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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.