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Finding the Fourth Proportional to 1,415.63, 2,124.35 and 549.95

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Solution

The fourth proportional to 1,415.63, 2,124.35 and 549.95 is: 825.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.63 : 2,124.35 = 549.95 : x
  2. Step 2: Convert to fraction form
    1,415.63/2,124.35 = 549.95/x
  3. Step 3: Cross multiply
    1,415.63x = 2,124.35 × 549.95
  4. Step 4: Simplify right side
    1,415.63x = 1,168,272.91
  5. Step 5: Solve for x
    x = 1,168,272.91/1,415.63
  6. Step 6: Final answer
    x = 825.27

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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.