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Finding the Fourth Proportional to 874.02, 1,309.35 and 777.06

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Solution

The fourth proportional to 874.02, 1,309.35 and 777.06 is: 1,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.02 : 1,309.35 = 777.06 : x
  2. Step 2: Convert to fraction form
    874.02/1,309.35 = 777.06/x
  3. Step 3: Cross multiply
    874.02x = 1,309.35 × 777.06
  4. Step 4: Simplify right side
    874.02x = 1,017,443.51
  5. Step 5: Solve for x
    x = 1,017,443.51/874.02
  6. Step 6: Final answer
    x = 1,164.10

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Why These Related Problems?

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