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Finding the Fourth Proportional to 1,045.12, 1,442.27 and 573.02

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Solution

The fourth proportional to 1,045.12, 1,442.27 and 573.02 is: 790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.12 : 1,442.27 = 573.02 : x
  2. Step 2: Convert to fraction form
    1,045.12/1,442.27 = 573.02/x
  3. Step 3: Cross multiply
    1,045.12x = 1,442.27 × 573.02
  4. Step 4: Simplify right side
    1,045.12x = 826,446.69
  5. Step 5: Solve for x
    x = 826,446.69/1,045.12
  6. Step 6: Final answer
    x = 790.77

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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.