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Finding the Fourth Proportional to 948.89, 1,309.16 and 555.64

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Solution

The fourth proportional to 948.89, 1,309.16 and 555.64 is: 766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.89 : 1,309.16 = 555.64 : x
  2. Step 2: Convert to fraction form
    948.89/1,309.16 = 555.64/x
  3. Step 3: Cross multiply
    948.89x = 1,309.16 × 555.64
  4. Step 4: Simplify right side
    948.89x = 727,412.34
  5. Step 5: Solve for x
    x = 727,412.34/948.89
  6. Step 6: Final answer
    x = 766.59

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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.