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Finding the Fourth Proportional to 1,051.32, 1,450.76 and 609.20

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Solution

The fourth proportional to 1,051.32, 1,450.76 and 609.20 is: 840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.32 : 1,450.76 = 609.20 : x
  2. Step 2: Convert to fraction form
    1,051.32/1,450.76 = 609.20/x
  3. Step 3: Cross multiply
    1,051.32x = 1,450.76 × 609.20
  4. Step 4: Simplify right side
    1,051.32x = 883,802.99
  5. Step 5: Solve for x
    x = 883,802.99/1,051.32
  6. Step 6: Final answer
    x = 840.66

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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.