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Finding the Fourth Proportional to 1,045.81, 1,567.20 and 577.37

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Solution

The fourth proportional to 1,045.81, 1,567.20 and 577.37 is: 865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.81 : 1,567.20 = 577.37 : x
  2. Step 2: Convert to fraction form
    1,045.81/1,567.20 = 577.37/x
  3. Step 3: Cross multiply
    1,045.81x = 1,567.20 × 577.37
  4. Step 4: Simplify right side
    1,045.81x = 904,851.38
  5. Step 5: Solve for x
    x = 904,851.38/1,045.81
  6. Step 6: Final answer
    x = 865.22

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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.