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Finding the Fourth Proportional to 1,106.19, 1,658.37 and 456.17

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Solution

The fourth proportional to 1,106.19, 1,658.37 and 456.17 is: 683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.19 : 1,658.37 = 456.17 : x
  2. Step 2: Convert to fraction form
    1,106.19/1,658.37 = 456.17/x
  3. Step 3: Cross multiply
    1,106.19x = 1,658.37 × 456.17
  4. Step 4: Simplify right side
    1,106.19x = 756,492.06
  5. Step 5: Solve for x
    x = 756,492.06/1,106.19
  6. Step 6: Final answer
    x = 683.87

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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.