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Finding the Fourth Proportional to 1,363.65, 2,046.09 and 714.23

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Solution

The fourth proportional to 1,363.65, 2,046.09 and 714.23 is: 1,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.65 : 2,046.09 = 714.23 : x
  2. Step 2: Convert to fraction form
    1,363.65/2,046.09 = 714.23/x
  3. Step 3: Cross multiply
    1,363.65x = 2,046.09 × 714.23
  4. Step 4: Simplify right side
    1,363.65x = 1,461,384.46
  5. Step 5: Solve for x
    x = 1,461,384.46/1,363.65
  6. Step 6: Final answer
    x = 1,071.67

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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.