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Finding the Fourth Proportional to 840.52, 1,159.20 and 716.56

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Solution

The fourth proportional to 840.52, 1,159.20 and 716.56 is: 988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.52 : 1,159.20 = 716.56 : x
  2. Step 2: Convert to fraction form
    840.52/1,159.20 = 716.56/x
  3. Step 3: Cross multiply
    840.52x = 1,159.20 × 716.56
  4. Step 4: Simplify right side
    840.52x = 830,636.35
  5. Step 5: Solve for x
    x = 830,636.35/840.52
  6. Step 6: Final answer
    x = 988.24

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1.5x scale

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.