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Finding the Fourth Proportional to 1,135.50, 1,566.92 and 631.35

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Solution

The fourth proportional to 1,135.50, 1,566.92 and 631.35 is: 871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.50 : 1,566.92 = 631.35 : x
  2. Step 2: Convert to fraction form
    1,135.50/1,566.92 = 631.35/x
  3. Step 3: Cross multiply
    1,135.50x = 1,566.92 × 631.35
  4. Step 4: Simplify right side
    1,135.50x = 989,271.79
  5. Step 5: Solve for x
    x = 989,271.79/1,135.50
  6. Step 6: Final answer
    x = 871.22

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