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Finding the Fourth Proportional to 1,233.04, 1,700.76 and 766.48

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Solution

The fourth proportional to 1,233.04, 1,700.76 and 766.48 is: 1,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.04 : 1,700.76 = 766.48 : x
  2. Step 2: Convert to fraction form
    1,233.04/1,700.76 = 766.48/x
  3. Step 3: Cross multiply
    1,233.04x = 1,700.76 × 766.48
  4. Step 4: Simplify right side
    1,233.04x = 1,303,598.52
  5. Step 5: Solve for x
    x = 1,303,598.52/1,233.04
  6. Step 6: Final answer
    x = 1,057.22

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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.