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Finding the Fourth Proportional to 1,051.40, 1,450.98 and 585.65

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Solution

The fourth proportional to 1,051.40, 1,450.98 and 585.65 is: 808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.40 : 1,450.98 = 585.65 : x
  2. Step 2: Convert to fraction form
    1,051.40/1,450.98 = 585.65/x
  3. Step 3: Cross multiply
    1,051.40x = 1,450.98 × 585.65
  4. Step 4: Simplify right side
    1,051.40x = 849,759.18
  5. Step 5: Solve for x
    x = 849,759.18/1,051.40
  6. Step 6: Final answer
    x = 808.22

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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.