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Finding the Fourth Proportional to 970.90, 1,339.85 and 528.82

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Solution

The fourth proportional to 970.90, 1,339.85 and 528.82 is: 729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.90 : 1,339.85 = 528.82 : x
  2. Step 2: Convert to fraction form
    970.90/1,339.85 = 528.82/x
  3. Step 3: Cross multiply
    970.90x = 1,339.85 × 528.82
  4. Step 4: Simplify right side
    970.90x = 708,532.96
  5. Step 5: Solve for x
    x = 708,532.96/970.90
  6. Step 6: Final answer
    x = 729.77

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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.