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Finding the Fourth Proportional to 1,042.04, 1,437.90 and 576.28

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Solution

The fourth proportional to 1,042.04, 1,437.90 and 576.28 is: 795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.04 : 1,437.90 = 576.28 : x
  2. Step 2: Convert to fraction form
    1,042.04/1,437.90 = 576.28/x
  3. Step 3: Cross multiply
    1,042.04x = 1,437.90 × 576.28
  4. Step 4: Simplify right side
    1,042.04x = 828,633.01
  5. Step 5: Solve for x
    x = 828,633.01/1,042.04
  6. Step 6: Final answer
    x = 795.20

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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.