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Finding the Fourth Proportional to 730.88, 1,005.60 and 555.20

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Solution

The fourth proportional to 730.88, 1,005.60 and 555.20 is: 763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.88 : 1,005.60 = 555.20 : x
  2. Step 2: Convert to fraction form
    730.88/1,005.60 = 555.20/x
  3. Step 3: Cross multiply
    730.88x = 1,005.60 × 555.20
  4. Step 4: Simplify right side
    730.88x = 558,309.12
  5. Step 5: Solve for x
    x = 558,309.12/730.88
  6. Step 6: Final answer
    x = 763.89

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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.