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Finding the Fourth Proportional to 970.45, 1,339.23 and 528.34

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Solution

The fourth proportional to 970.45, 1,339.23 and 528.34 is: 729.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.45 : 1,339.23 = 528.34 : x
  2. Step 2: Convert to fraction form
    970.45/1,339.23 = 528.34/x
  3. Step 3: Cross multiply
    970.45x = 1,339.23 × 528.34
  4. Step 4: Simplify right side
    970.45x = 707,568.78
  5. Step 5: Solve for x
    x = 707,568.78/970.45
  6. Step 6: Final answer
    x = 729.11

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1.5x scale

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.