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Finding the Fourth Proportional to 700.84, 1,051.49 and 290.77

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Solution

The fourth proportional to 700.84, 1,051.49 and 290.77 is: 436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.84 : 1,051.49 = 290.77 : x
  2. Step 2: Convert to fraction form
    700.84/1,051.49 = 290.77/x
  3. Step 3: Cross multiply
    700.84x = 1,051.49 × 290.77
  4. Step 4: Simplify right side
    700.84x = 305,741.75
  5. Step 5: Solve for x
    x = 305,741.75/700.84
  6. Step 6: Final answer
    x = 436.25

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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.