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Finding the Fourth Proportional to 973.14, 1,342.95 and 531.05

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Solution

The fourth proportional to 973.14, 1,342.95 and 531.05 is: 732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.14 : 1,342.95 = 531.05 : x
  2. Step 2: Convert to fraction form
    973.14/1,342.95 = 531.05/x
  3. Step 3: Cross multiply
    973.14x = 1,342.95 × 531.05
  4. Step 4: Simplify right side
    973.14x = 713,166.88
  5. Step 5: Solve for x
    x = 713,166.88/973.14
  6. Step 6: Final answer
    x = 732.85

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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.