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Finding the Fourth Proportional to 929.07, 1,391.45 and 783.27

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Solution

The fourth proportional to 929.07, 1,391.45 and 783.27 is: 1,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.07 : 1,391.45 = 783.27 : x
  2. Step 2: Convert to fraction form
    929.07/1,391.45 = 783.27/x
  3. Step 3: Cross multiply
    929.07x = 1,391.45 × 783.27
  4. Step 4: Simplify right side
    929.07x = 1,089,877.13
  5. Step 5: Solve for x
    x = 1,089,877.13/929.07
  6. Step 6: Final answer
    x = 1,173.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.