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Finding the Fourth Proportional to 1,528.93, 2,294.30 and 554.90

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Solution

The fourth proportional to 1,528.93, 2,294.30 and 554.90 is: 832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.93 : 2,294.30 = 554.90 : x
  2. Step 2: Convert to fraction form
    1,528.93/2,294.30 = 554.90/x
  3. Step 3: Cross multiply
    1,528.93x = 2,294.30 × 554.90
  4. Step 4: Simplify right side
    1,528.93x = 1,273,114.19
  5. Step 5: Solve for x
    x = 1,273,114.19/1,528.93
  6. Step 6: Final answer
    x = 832.68

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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.