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Finding the Fourth Proportional to 1,017.50, 1,405.10 and 818.36

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Solution

The fourth proportional to 1,017.50, 1,405.10 and 818.36 is: 1,130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.50 : 1,405.10 = 818.36 : x
  2. Step 2: Convert to fraction form
    1,017.50/1,405.10 = 818.36/x
  3. Step 3: Cross multiply
    1,017.50x = 1,405.10 × 818.36
  4. Step 4: Simplify right side
    1,017.50x = 1,149,877.64
  5. Step 5: Solve for x
    x = 1,149,877.64/1,017.50
  6. Step 6: Final answer
    x = 1,130.10

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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.