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Finding the Fourth Proportional to 1,237.74, 1,708.35 and 766.05

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Solution

The fourth proportional to 1,237.74, 1,708.35 and 766.05 is: 1,057.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.74 : 1,708.35 = 766.05 : x
  2. Step 2: Convert to fraction form
    1,237.74/1,708.35 = 766.05/x
  3. Step 3: Cross multiply
    1,237.74x = 1,708.35 × 766.05
  4. Step 4: Simplify right side
    1,237.74x = 1,308,681.52
  5. Step 5: Solve for x
    x = 1,308,681.52/1,237.74
  6. Step 6: Final answer
    x = 1,057.32

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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.