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Finding the Fourth Proportional to 693.51, 1,042.23 and 646.74

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Solution

The fourth proportional to 693.51, 1,042.23 and 646.74 is: 971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.51 : 1,042.23 = 646.74 : x
  2. Step 2: Convert to fraction form
    693.51/1,042.23 = 646.74/x
  3. Step 3: Cross multiply
    693.51x = 1,042.23 × 646.74
  4. Step 4: Simplify right side
    693.51x = 674,051.83
  5. Step 5: Solve for x
    x = 674,051.83/693.51
  6. Step 6: Final answer
    x = 971.94

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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.