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Finding the Fourth Proportional to 973.17, 1,341.77 and 785.97

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Solution

The fourth proportional to 973.17, 1,341.77 and 785.97 is: 1,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.17 : 1,341.77 = 785.97 : x
  2. Step 2: Convert to fraction form
    973.17/1,341.77 = 785.97/x
  3. Step 3: Cross multiply
    973.17x = 1,341.77 × 785.97
  4. Step 4: Simplify right side
    973.17x = 1,054,587.04
  5. Step 5: Solve for x
    x = 1,054,587.04/973.17
  6. Step 6: Final answer
    x = 1,083.66

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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.