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Finding the Fourth Proportional to 700.34, 965.48 and 501.11

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Solution

The fourth proportional to 700.34, 965.48 and 501.11 is: 690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.34 : 965.48 = 501.11 : x
  2. Step 2: Convert to fraction form
    700.34/965.48 = 501.11/x
  3. Step 3: Cross multiply
    700.34x = 965.48 × 501.11
  4. Step 4: Simplify right side
    700.34x = 483,804.35
  5. Step 5: Solve for x
    x = 483,804.35/700.34
  6. Step 6: Final answer
    x = 690.82

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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.