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Finding the Fourth Proportional to 1,114.02, 1,536.35 and 720.64

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Solution

The fourth proportional to 1,114.02, 1,536.35 and 720.64 is: 993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.02 : 1,536.35 = 720.64 : x
  2. Step 2: Convert to fraction form
    1,114.02/1,536.35 = 720.64/x
  3. Step 3: Cross multiply
    1,114.02x = 1,536.35 × 720.64
  4. Step 4: Simplify right side
    1,114.02x = 1,107,155.26
  5. Step 5: Solve for x
    x = 1,107,155.26/1,114.02
  6. Step 6: Final answer
    x = 993.84

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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.