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Finding the Fourth Proportional to 651.60, 980.94 and 562.32

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Solution

The fourth proportional to 651.60, 980.94 and 562.32 is: 846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.60 : 980.94 = 562.32 : x
  2. Step 2: Convert to fraction form
    651.60/980.94 = 562.32/x
  3. Step 3: Cross multiply
    651.60x = 980.94 × 562.32
  4. Step 4: Simplify right side
    651.60x = 551,602.18
  5. Step 5: Solve for x
    x = 551,602.18/651.60
  6. Step 6: Final answer
    x = 846.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.