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Finding the Fourth Proportional to 1,145.23, 1,580.49 and 647.69

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Solution

The fourth proportional to 1,145.23, 1,580.49 and 647.69 is: 893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.23 : 1,580.49 = 647.69 : x
  2. Step 2: Convert to fraction form
    1,145.23/1,580.49 = 647.69/x
  3. Step 3: Cross multiply
    1,145.23x = 1,580.49 × 647.69
  4. Step 4: Simplify right side
    1,145.23x = 1,023,659.67
  5. Step 5: Solve for x
    x = 1,023,659.67/1,145.23
  6. Step 6: Final answer
    x = 893.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.