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Finding the Fourth Proportional to 973.59, 1,343.61 and 553.77

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Solution

The fourth proportional to 973.59, 1,343.61 and 553.77 is: 764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.59 : 1,343.61 = 553.77 : x
  2. Step 2: Convert to fraction form
    973.59/1,343.61 = 553.77/x
  3. Step 3: Cross multiply
    973.59x = 1,343.61 × 553.77
  4. Step 4: Simplify right side
    973.59x = 744,050.91
  5. Step 5: Solve for x
    x = 744,050.91/973.59
  6. Step 6: Final answer
    x = 764.23

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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.