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Finding the Fourth Proportional to 1,042.43, 1,554.82 and 904.38

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Solution

The fourth proportional to 1,042.43, 1,554.82 and 904.38 is: 1,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.43 : 1,554.82 = 904.38 : x
  2. Step 2: Convert to fraction form
    1,042.43/1,554.82 = 904.38/x
  3. Step 3: Cross multiply
    1,042.43x = 1,554.82 × 904.38
  4. Step 4: Simplify right side
    1,042.43x = 1,406,148.11
  5. Step 5: Solve for x
    x = 1,406,148.11/1,042.43
  6. Step 6: Final answer
    x = 1,348.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.