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Finding the Fourth Proportional to 740.16, 1,021.83 and 491.67

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Solution

The fourth proportional to 740.16, 1,021.83 and 491.67 is: 678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.16 : 1,021.83 = 491.67 : x
  2. Step 2: Convert to fraction form
    740.16/1,021.83 = 491.67/x
  3. Step 3: Cross multiply
    740.16x = 1,021.83 × 491.67
  4. Step 4: Simplify right side
    740.16x = 502,403.16
  5. Step 5: Solve for x
    x = 502,403.16/740.16
  6. Step 6: Final answer
    x = 678.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.