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Finding the Fourth Proportional to 1,059.04, 1,589.16 and 647.32

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Solution

The fourth proportional to 1,059.04, 1,589.16 and 647.32 is: 971.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.04 : 1,589.16 = 647.32 : x
  2. Step 2: Convert to fraction form
    1,059.04/1,589.16 = 647.32/x
  3. Step 3: Cross multiply
    1,059.04x = 1,589.16 × 647.32
  4. Step 4: Simplify right side
    1,059.04x = 1,028,695.05
  5. Step 5: Solve for x
    x = 1,028,695.05/1,059.04
  6. Step 6: Final answer
    x = 971.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.