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Finding the Fourth Proportional to 1,145.05, 1,580.18 and 647.69

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Solution

The fourth proportional to 1,145.05, 1,580.18 and 647.69 is: 893.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.05 : 1,580.18 = 647.69 : x
  2. Step 2: Convert to fraction form
    1,145.05/1,580.18 = 647.69/x
  3. Step 3: Cross multiply
    1,145.05x = 1,580.18 × 647.69
  4. Step 4: Simplify right side
    1,145.05x = 1,023,466.78
  5. Step 5: Solve for x
    x = 1,023,466.78/1,145.05
  6. Step 6: Final answer
    x = 893.82

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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.