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Finding the Fourth Proportional to 1,042.56, 1,438.50 and 623.06

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Solution

The fourth proportional to 1,042.56, 1,438.50 and 623.06 is: 859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.56 : 1,438.50 = 623.06 : x
  2. Step 2: Convert to fraction form
    1,042.56/1,438.50 = 623.06/x
  3. Step 3: Cross multiply
    1,042.56x = 1,438.50 × 623.06
  4. Step 4: Simplify right side
    1,042.56x = 896,271.81
  5. Step 5: Solve for x
    x = 896,271.81/1,042.56
  6. Step 6: Final answer
    x = 859.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.