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Finding the Fourth Proportional to 973.03, 1,342.53 and 594.82

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Solution

The fourth proportional to 973.03, 1,342.53 and 594.82 is: 820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.03 : 1,342.53 = 594.82 : x
  2. Step 2: Convert to fraction form
    973.03/1,342.53 = 594.82/x
  3. Step 3: Cross multiply
    973.03x = 1,342.53 × 594.82
  4. Step 4: Simplify right side
    973.03x = 798,560.34
  5. Step 5: Solve for x
    x = 798,560.34/973.03
  6. Step 6: Final answer
    x = 820.70

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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.