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Finding the Fourth Proportional to 1,177.68, 1,765.74 and 561.06

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Solution

The fourth proportional to 1,177.68, 1,765.74 and 561.06 is: 841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.68 : 1,765.74 = 561.06 : x
  2. Step 2: Convert to fraction form
    1,177.68/1,765.74 = 561.06/x
  3. Step 3: Cross multiply
    1,177.68x = 1,765.74 × 561.06
  4. Step 4: Simplify right side
    1,177.68x = 990,686.08
  5. Step 5: Solve for x
    x = 990,686.08/1,177.68
  6. Step 6: Final answer
    x = 841.22

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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.