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Finding the Fourth Proportional to 646.92, 970.38 and 583.20

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Solution

The fourth proportional to 646.92, 970.38 and 583.20 is: 874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.92 : 970.38 = 583.20 : x
  2. Step 2: Convert to fraction form
    646.92/970.38 = 583.20/x
  3. Step 3: Cross multiply
    646.92x = 970.38 × 583.20
  4. Step 4: Simplify right side
    646.92x = 565,925.62
  5. Step 5: Solve for x
    x = 565,925.62/646.92
  6. Step 6: Final answer
    x = 874.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.