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Finding the Fourth Proportional to 970.31, 1,339.03 and 528.19

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Solution

The fourth proportional to 970.31, 1,339.03 and 528.19 is: 728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.31 : 1,339.03 = 528.19 : x
  2. Step 2: Convert to fraction form
    970.31/1,339.03 = 528.19/x
  3. Step 3: Cross multiply
    970.31x = 1,339.03 × 528.19
  4. Step 4: Simplify right side
    970.31x = 707,259.57
  5. Step 5: Solve for x
    x = 707,259.57/970.31
  6. Step 6: Final answer
    x = 728.90

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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.