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Finding the Fourth Proportional to 970.64, 1,339.47 and 528.57

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Solution

The fourth proportional to 970.64, 1,339.47 and 528.57 is: 729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.64 : 1,339.47 = 528.57 : x
  2. Step 2: Convert to fraction form
    970.64/1,339.47 = 528.57/x
  3. Step 3: Cross multiply
    970.64x = 1,339.47 × 528.57
  4. Step 4: Simplify right side
    970.64x = 708,003.66
  5. Step 5: Solve for x
    x = 708,003.66/970.64
  6. Step 6: Final answer
    x = 729.42

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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.