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Finding the Fourth Proportional to 970.67, 1,339.53 and 528.59

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Solution

The fourth proportional to 970.67, 1,339.53 and 528.59 is: 729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.67 : 1,339.53 = 528.59 : x
  2. Step 2: Convert to fraction form
    970.67/1,339.53 = 528.59/x
  3. Step 3: Cross multiply
    970.67x = 1,339.53 × 528.59
  4. Step 4: Simplify right side
    970.67x = 708,062.16
  5. Step 5: Solve for x
    x = 708,062.16/970.67
  6. Step 6: Final answer
    x = 729.46

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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.