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Finding the Fourth Proportional to 970.64, 1,339.49 and 528.55

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Solution

The fourth proportional to 970.64, 1,339.49 and 528.55 is: 729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.64 : 1,339.49 = 528.55 : x
  2. Step 2: Convert to fraction form
    970.64/1,339.49 = 528.55/x
  3. Step 3: Cross multiply
    970.64x = 1,339.49 × 528.55
  4. Step 4: Simplify right side
    970.64x = 707,985.41
  5. Step 5: Solve for x
    x = 707,985.41/970.64
  6. Step 6: Final answer
    x = 729.40

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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.