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Finding the Fourth Proportional to 735.36, 1,094.98 and 709.08

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Solution

The fourth proportional to 735.36, 1,094.98 and 709.08 is: 1,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.36 : 1,094.98 = 709.08 : x
  2. Step 2: Convert to fraction form
    735.36/1,094.98 = 709.08/x
  3. Step 3: Cross multiply
    735.36x = 1,094.98 × 709.08
  4. Step 4: Simplify right side
    735.36x = 776,428.42
  5. Step 5: Solve for x
    x = 776,428.42/735.36
  6. Step 6: Final answer
    x = 1,055.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.