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Finding the Fourth Proportional to 941.77, 1,410.90 and 777.07

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Solution

The fourth proportional to 941.77, 1,410.90 and 777.07 is: 1,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.77 : 1,410.90 = 777.07 : x
  2. Step 2: Convert to fraction form
    941.77/1,410.90 = 777.07/x
  3. Step 3: Cross multiply
    941.77x = 1,410.90 × 777.07
  4. Step 4: Simplify right side
    941.77x = 1,096,368.06
  5. Step 5: Solve for x
    x = 1,096,368.06/941.77
  6. Step 6: Final answer
    x = 1,164.16

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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.