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Finding the Fourth Proportional to 1,337.55, 1,845.30 and 777.93

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Solution

The fourth proportional to 1,337.55, 1,845.30 and 777.93 is: 1,073.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.55 : 1,845.30 = 777.93 : x
  2. Step 2: Convert to fraction form
    1,337.55/1,845.30 = 777.93/x
  3. Step 3: Cross multiply
    1,337.55x = 1,845.30 × 777.93
  4. Step 4: Simplify right side
    1,337.55x = 1,435,514.23
  5. Step 5: Solve for x
    x = 1,435,514.23/1,337.55
  6. Step 6: Final answer
    x = 1,073.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.