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Finding the Fourth Proportional to 1,154.51, 1,729.37 and 783.15

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Solution

The fourth proportional to 1,154.51, 1,729.37 and 783.15 is: 1,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.51 : 1,729.37 = 783.15 : x
  2. Step 2: Convert to fraction form
    1,154.51/1,729.37 = 783.15/x
  3. Step 3: Cross multiply
    1,154.51x = 1,729.37 × 783.15
  4. Step 4: Simplify right side
    1,154.51x = 1,354,352.20
  5. Step 5: Solve for x
    x = 1,354,352.20/1,154.51
  6. Step 6: Final answer
    x = 1,173.10

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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.