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Finding the Fourth Proportional to 1,054.89, 1,455.72 and 589.14

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Solution

The fourth proportional to 1,054.89, 1,455.72 and 589.14 is: 813.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.89 : 1,455.72 = 589.14 : x
  2. Step 2: Convert to fraction form
    1,054.89/1,455.72 = 589.14/x
  3. Step 3: Cross multiply
    1,054.89x = 1,455.72 × 589.14
  4. Step 4: Simplify right side
    1,054.89x = 857,622.88
  5. Step 5: Solve for x
    x = 857,622.88/1,054.89
  6. Step 6: Final answer
    x = 813.00

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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.