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Finding the Fourth Proportional to 1,064.96, 1,596.48 and 631.22

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Solution

The fourth proportional to 1,064.96, 1,596.48 and 631.22 is: 946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.96 : 1,596.48 = 631.22 : x
  2. Step 2: Convert to fraction form
    1,064.96/1,596.48 = 631.22/x
  3. Step 3: Cross multiply
    1,064.96x = 1,596.48 × 631.22
  4. Step 4: Simplify right side
    1,064.96x = 1,007,730.11
  5. Step 5: Solve for x
    x = 1,007,730.11/1,064.96
  6. Step 6: Final answer
    x = 946.26

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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.