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Finding the Fourth Proportional to 973.12, 1,342.91 and 531.01

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Solution

The fourth proportional to 973.12, 1,342.91 and 531.01 is: 732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.12 : 1,342.91 = 531.01 : x
  2. Step 2: Convert to fraction form
    973.12/1,342.91 = 531.01/x
  3. Step 3: Cross multiply
    973.12x = 1,342.91 × 531.01
  4. Step 4: Simplify right side
    973.12x = 713,098.64
  5. Step 5: Solve for x
    x = 713,098.64/973.12
  6. Step 6: Final answer
    x = 732.80

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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.