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Finding the Fourth Proportional to 970.15, 1,338.78 and 528.07

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Solution

The fourth proportional to 970.15, 1,338.78 and 528.07 is: 728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.15 : 1,338.78 = 528.07 : x
  2. Step 2: Convert to fraction form
    970.15/1,338.78 = 528.07/x
  3. Step 3: Cross multiply
    970.15x = 1,338.78 × 528.07
  4. Step 4: Simplify right side
    970.15x = 706,969.55
  5. Step 5: Solve for x
    x = 706,969.55/970.15
  6. Step 6: Final answer
    x = 728.72

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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.