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Finding the Fourth Proportional to 716.10, 1,004.70 and 716.10

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Solution

The fourth proportional to 716.10, 1,004.70 and 716.10 is: 1,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.10 : 1,004.70 = 716.10 : x
  2. Step 2: Convert to fraction form
    716.10/1,004.70 = 716.10/x
  3. Step 3: Cross multiply
    716.10x = 1,004.70 × 716.10
  4. Step 4: Simplify right side
    716.10x = 719,465.67
  5. Step 5: Solve for x
    x = 719,465.67/716.10
  6. Step 6: Final answer
    x = 1,004.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.