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Finding the Fourth Proportional to 1,144.96, 1,580.02 and 647.58

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Solution

The fourth proportional to 1,144.96, 1,580.02 and 647.58 is: 893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.96 : 1,580.02 = 647.58 : x
  2. Step 2: Convert to fraction form
    1,144.96/1,580.02 = 647.58/x
  3. Step 3: Cross multiply
    1,144.96x = 1,580.02 × 647.58
  4. Step 4: Simplify right side
    1,144.96x = 1,023,189.35
  5. Step 5: Solve for x
    x = 1,023,189.35/1,144.96
  6. Step 6: Final answer
    x = 893.65

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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.