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Finding the Fourth Proportional to 1,658.01, 2,487.31 and 683.58

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Solution

The fourth proportional to 1,658.01, 2,487.31 and 683.58 is: 1,025.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.01 : 2,487.31 = 683.58 : x
  2. Step 2: Convert to fraction form
    1,658.01/2,487.31 = 683.58/x
  3. Step 3: Cross multiply
    1,658.01x = 2,487.31 × 683.58
  4. Step 4: Simplify right side
    1,658.01x = 1,700,275.37
  5. Step 5: Solve for x
    x = 1,700,275.37/1,658.01
  6. Step 6: Final answer
    x = 1,025.49

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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.