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Finding the Fourth Proportional to 749.63, 1,032.85 and 559.77

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Solution

The fourth proportional to 749.63, 1,032.85 and 559.77 is: 771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.63 : 1,032.85 = 559.77 : x
  2. Step 2: Convert to fraction form
    749.63/1,032.85 = 559.77/x
  3. Step 3: Cross multiply
    749.63x = 1,032.85 × 559.77
  4. Step 4: Simplify right side
    749.63x = 578,158.44
  5. Step 5: Solve for x
    x = 578,158.44/749.63
  6. Step 6: Final answer
    x = 771.26

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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.