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Finding the Fourth Proportional to 970.32, 1,339.02 and 528.23

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Solution

The fourth proportional to 970.32, 1,339.02 and 528.23 is: 728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.32 : 1,339.02 = 528.23 : x
  2. Step 2: Convert to fraction form
    970.32/1,339.02 = 528.23/x
  3. Step 3: Cross multiply
    970.32x = 1,339.02 × 528.23
  4. Step 4: Simplify right side
    970.32x = 707,313.88
  5. Step 5: Solve for x
    x = 707,313.88/970.32
  6. Step 6: Final answer
    x = 728.95

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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.