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Finding the Fourth Proportional to 970.09, 1,338.67 and 527.98

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Solution

The fourth proportional to 970.09, 1,338.67 and 527.98 is: 728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.09 : 1,338.67 = 527.98 : x
  2. Step 2: Convert to fraction form
    970.09/1,338.67 = 527.98/x
  3. Step 3: Cross multiply
    970.09x = 1,338.67 × 527.98
  4. Step 4: Simplify right side
    970.09x = 706,790.99
  5. Step 5: Solve for x
    x = 706,790.99/970.09
  6. Step 6: Final answer
    x = 728.58

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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.