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Finding the Fourth Proportional to 1,038.81, 1,556.24 and 777.48

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Solution

The fourth proportional to 1,038.81, 1,556.24 and 777.48 is: 1,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.81 : 1,556.24 = 777.48 : x
  2. Step 2: Convert to fraction form
    1,038.81/1,556.24 = 777.48/x
  3. Step 3: Cross multiply
    1,038.81x = 1,556.24 × 777.48
  4. Step 4: Simplify right side
    1,038.81x = 1,209,941.59
  5. Step 5: Solve for x
    x = 1,209,941.59/1,038.81
  6. Step 6: Final answer
    x = 1,164.74

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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.