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Finding the Fourth Proportional to 1,130.64, 1,561.50 and 777.50

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Solution

The fourth proportional to 1,130.64, 1,561.50 and 777.50 is: 1,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.64 : 1,561.50 = 777.50 : x
  2. Step 2: Convert to fraction form
    1,130.64/1,561.50 = 777.50/x
  3. Step 3: Cross multiply
    1,130.64x = 1,561.50 × 777.50
  4. Step 4: Simplify right side
    1,130.64x = 1,214,058.44
  5. Step 5: Solve for x
    x = 1,214,058.44/1,130.64
  6. Step 6: Final answer
    x = 1,073.78

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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.