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Finding the Fourth Proportional to 1,658.40, 2,487.56 and 504.14

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Solution

The fourth proportional to 1,658.40, 2,487.56 and 504.14 is: 756.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.40 : 2,487.56 = 504.14 : x
  2. Step 2: Convert to fraction form
    1,658.40/2,487.56 = 504.14/x
  3. Step 3: Cross multiply
    1,658.40x = 2,487.56 × 504.14
  4. Step 4: Simplify right side
    1,658.40x = 1,254,078.50
  5. Step 5: Solve for x
    x = 1,254,078.50/1,658.40
  6. Step 6: Final answer
    x = 756.20

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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.