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Finding the Fourth Proportional to 1,042.84, 1,562.88 and 554.84

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Solution

The fourth proportional to 1,042.84, 1,562.88 and 554.84 is: 831.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.84 : 1,562.88 = 554.84 : x
  2. Step 2: Convert to fraction form
    1,042.84/1,562.88 = 554.84/x
  3. Step 3: Cross multiply
    1,042.84x = 1,562.88 × 554.84
  4. Step 4: Simplify right side
    1,042.84x = 867,148.34
  5. Step 5: Solve for x
    x = 867,148.34/1,042.84
  6. Step 6: Final answer
    x = 831.53

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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.