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Finding the Fourth Proportional to 700.65, 966.26 and 583.01

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Solution

The fourth proportional to 700.65, 966.26 and 583.01 is: 804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.65 : 966.26 = 583.01 : x
  2. Step 2: Convert to fraction form
    700.65/966.26 = 583.01/x
  3. Step 3: Cross multiply
    700.65x = 966.26 × 583.01
  4. Step 4: Simplify right side
    700.65x = 563,343.12
  5. Step 5: Solve for x
    x = 563,343.12/700.65
  6. Step 6: Final answer
    x = 804.03

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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.