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Finding the Fourth Proportional to 1,254.61, 1,729.65 and 835

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Solution

The fourth proportional to 1,254.61, 1,729.65 and 835 is: 1,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.61 : 1,729.65 = 835 : x
  2. Step 2: Convert to fraction form
    1,254.61/1,729.65 = 835/x
  3. Step 3: Cross multiply
    1,254.61x = 1,729.65 × 835
  4. Step 4: Simplify right side
    1,254.61x = 1,444,257.75
  5. Step 5: Solve for x
    x = 1,444,257.75/1,254.61
  6. Step 6: Final answer
    x = 1,151.16

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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.