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Finding the Fourth Proportional to 1,204.13, 1,661.67 and 707.10

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Solution

The fourth proportional to 1,204.13, 1,661.67 and 707.10 is: 975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.13 : 1,661.67 = 707.10 : x
  2. Step 2: Convert to fraction form
    1,204.13/1,661.67 = 707.10/x
  3. Step 3: Cross multiply
    1,204.13x = 1,661.67 × 707.10
  4. Step 4: Simplify right side
    1,204.13x = 1,174,966.86
  5. Step 5: Solve for x
    x = 1,174,966.86/1,204.13
  6. Step 6: Final answer
    x = 975.78

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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.