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Finding the Fourth Proportional to 1,658.99, 2,488.46 and 564.12

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Solution

The fourth proportional to 1,658.99, 2,488.46 and 564.12 is: 846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.99 : 2,488.46 = 564.12 : x
  2. Step 2: Convert to fraction form
    1,658.99/2,488.46 = 564.12/x
  3. Step 3: Cross multiply
    1,658.99x = 2,488.46 × 564.12
  4. Step 4: Simplify right side
    1,658.99x = 1,403,787.23
  5. Step 5: Solve for x
    x = 1,403,787.23/1,658.99
  6. Step 6: Final answer
    x = 846.17

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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.