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Finding the Fourth Proportional to 1,123.07, 1,684.80 and 473.45

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Solution

The fourth proportional to 1,123.07, 1,684.80 and 473.45 is: 710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.07 : 1,684.80 = 473.45 : x
  2. Step 2: Convert to fraction form
    1,123.07/1,684.80 = 473.45/x
  3. Step 3: Cross multiply
    1,123.07x = 1,684.80 × 473.45
  4. Step 4: Simplify right side
    1,123.07x = 797,660.14
  5. Step 5: Solve for x
    x = 797,660.14/1,123.07
  6. Step 6: Final answer
    x = 710.25

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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.