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Finding the Fourth Proportional to 973.52, 1,342.93 and 580.47

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Solution

The fourth proportional to 973.52, 1,342.93 and 580.47 is: 800.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.52 : 1,342.93 = 580.47 : x
  2. Step 2: Convert to fraction form
    973.52/1,342.93 = 580.47/x
  3. Step 3: Cross multiply
    973.52x = 1,342.93 × 580.47
  4. Step 4: Simplify right side
    973.52x = 779,525.18
  5. Step 5: Solve for x
    x = 779,525.18/973.52
  6. Step 6: Final answer
    x = 800.73

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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.