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Finding the Fourth Proportional to 973.51, 1,343.65 and 641.98

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Solution

The fourth proportional to 973.51, 1,343.65 and 641.98 is: 886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.51 : 1,343.65 = 641.98 : x
  2. Step 2: Convert to fraction form
    973.51/1,343.65 = 641.98/x
  3. Step 3: Cross multiply
    973.51x = 1,343.65 × 641.98
  4. Step 4: Simplify right side
    973.51x = 862,596.43
  5. Step 5: Solve for x
    x = 862,596.43/973.51
  6. Step 6: Final answer
    x = 886.07

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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.