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Finding the Fourth Proportional to 1,304.40, 1,957.32 and 573.84

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Solution

The fourth proportional to 1,304.40, 1,957.32 and 573.84 is: 861.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.40 : 1,957.32 = 573.84 : x
  2. Step 2: Convert to fraction form
    1,304.40/1,957.32 = 573.84/x
  3. Step 3: Cross multiply
    1,304.40x = 1,957.32 × 573.84
  4. Step 4: Simplify right side
    1,304.40x = 1,123,188.51
  5. Step 5: Solve for x
    x = 1,123,188.51/1,304.40
  6. Step 6: Final answer
    x = 861.08

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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.