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Finding the Fourth Proportional to 1,042.64, 1,563.12 and 602.84

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Solution

The fourth proportional to 1,042.64, 1,563.12 and 602.84 is: 903.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.64 : 1,563.12 = 602.84 : x
  2. Step 2: Convert to fraction form
    1,042.64/1,563.12 = 602.84/x
  3. Step 3: Cross multiply
    1,042.64x = 1,563.12 × 602.84
  4. Step 4: Simplify right side
    1,042.64x = 942,311.26
  5. Step 5: Solve for x
    x = 942,311.26/1,042.64
  6. Step 6: Final answer
    x = 903.77

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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.