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Finding the Fourth Proportional to 1,252.29, 1,875.99 and 818.13

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Solution

The fourth proportional to 1,252.29, 1,875.99 and 818.13 is: 1,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.29 : 1,875.99 = 818.13 : x
  2. Step 2: Convert to fraction form
    1,252.29/1,875.99 = 818.13/x
  3. Step 3: Cross multiply
    1,252.29x = 1,875.99 × 818.13
  4. Step 4: Simplify right side
    1,252.29x = 1,534,803.70
  5. Step 5: Solve for x
    x = 1,534,803.70/1,252.29
  6. Step 6: Final answer
    x = 1,225.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.