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Finding the Fourth Proportional to 646.35, 970.51 and 569.96

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Solution

The fourth proportional to 646.35, 970.51 and 569.96 is: 855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.35 : 970.51 = 569.96 : x
  2. Step 2: Convert to fraction form
    646.35/970.51 = 569.96/x
  3. Step 3: Cross multiply
    646.35x = 970.51 × 569.96
  4. Step 4: Simplify right side
    646.35x = 553,151.88
  5. Step 5: Solve for x
    x = 553,151.88/646.35
  6. Step 6: Final answer
    x = 855.81

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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.