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Finding the Fourth Proportional to 973.84, 1,345.56 and 725.98

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Solution

The fourth proportional to 973.84, 1,345.56 and 725.98 is: 1,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.84 : 1,345.56 = 725.98 : x
  2. Step 2: Convert to fraction form
    973.84/1,345.56 = 725.98/x
  3. Step 3: Cross multiply
    973.84x = 1,345.56 × 725.98
  4. Step 4: Simplify right side
    973.84x = 976,849.65
  5. Step 5: Solve for x
    x = 976,849.65/973.84
  6. Step 6: Final answer
    x = 1,003.09

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