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Finding the Fourth Proportional to 1,043.86, 1,437.46 and 933.30

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Solution

The fourth proportional to 1,043.86, 1,437.46 and 933.30 is: 1,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.86 : 1,437.46 = 933.30 : x
  2. Step 2: Convert to fraction form
    1,043.86/1,437.46 = 933.30/x
  3. Step 3: Cross multiply
    1,043.86x = 1,437.46 × 933.30
  4. Step 4: Simplify right side
    1,043.86x = 1,341,581.42
  5. Step 5: Solve for x
    x = 1,341,581.42/1,043.86
  6. Step 6: Final answer
    x = 1,285.21

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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.