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Finding the Fourth Proportional to 973.85, 1,343.86 and 554.15

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Solution

The fourth proportional to 973.85, 1,343.86 and 554.15 is: 764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.85 : 1,343.86 = 554.15 : x
  2. Step 2: Convert to fraction form
    973.85/1,343.86 = 554.15/x
  3. Step 3: Cross multiply
    973.85x = 1,343.86 × 554.15
  4. Step 4: Simplify right side
    973.85x = 744,700.02
  5. Step 5: Solve for x
    x = 744,700.02/973.85
  6. Step 6: Final answer
    x = 764.70

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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.