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Finding the Fourth Proportional to 1,145.33, 1,580.37 and 647.94

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Solution

The fourth proportional to 1,145.33, 1,580.37 and 647.94 is: 894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.33 : 1,580.37 = 647.94 : x
  2. Step 2: Convert to fraction form
    1,145.33/1,580.37 = 647.94/x
  3. Step 3: Cross multiply
    1,145.33x = 1,580.37 × 647.94
  4. Step 4: Simplify right side
    1,145.33x = 1,023,981.88
  5. Step 5: Solve for x
    x = 1,023,981.88/1,145.33
  6. Step 6: Final answer
    x = 894.05

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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.