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Finding the Fourth Proportional to 973.17, 1,342.98 and 580.10

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Solution

The fourth proportional to 973.17, 1,342.98 and 580.10 is: 800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.17 : 1,342.98 = 580.10 : x
  2. Step 2: Convert to fraction form
    973.17/1,342.98 = 580.10/x
  3. Step 3: Cross multiply
    973.17x = 1,342.98 × 580.10
  4. Step 4: Simplify right side
    973.17x = 779,055.98
  5. Step 5: Solve for x
    x = 779,055.98/973.17
  6. Step 6: Final answer
    x = 800.53

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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.