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Finding the Fourth Proportional to 970.94, 1,339.90 and 572.62

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Solution

The fourth proportional to 970.94, 1,339.90 and 572.62 is: 790.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.94 : 1,339.90 = 572.62 : x
  2. Step 2: Convert to fraction form
    970.94/1,339.90 = 572.62/x
  3. Step 3: Cross multiply
    970.94x = 1,339.90 × 572.62
  4. Step 4: Simplify right side
    970.94x = 767,253.54
  5. Step 5: Solve for x
    x = 767,253.54/970.94
  6. Step 6: Final answer
    x = 790.22

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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.