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Finding the Fourth Proportional to 1,594.29, 2,391.96 and 554.55

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Solution

The fourth proportional to 1,594.29, 2,391.96 and 554.55 is: 832.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.29 : 2,391.96 = 554.55 : x
  2. Step 2: Convert to fraction form
    1,594.29/2,391.96 = 554.55/x
  3. Step 3: Cross multiply
    1,594.29x = 2,391.96 × 554.55
  4. Step 4: Simplify right side
    1,594.29x = 1,326,461.42
  5. Step 5: Solve for x
    x = 1,326,461.42/1,594.29
  6. Step 6: Final answer
    x = 832.01

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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.