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Finding the Fourth Proportional to 1,165.41, 1,748.12 and 434.98

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Solution

The fourth proportional to 1,165.41, 1,748.12 and 434.98 is: 652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.41 : 1,748.12 = 434.98 : x
  2. Step 2: Convert to fraction form
    1,165.41/1,748.12 = 434.98/x
  3. Step 3: Cross multiply
    1,165.41x = 1,748.12 × 434.98
  4. Step 4: Simplify right side
    1,165.41x = 760,393.95
  5. Step 5: Solve for x
    x = 760,393.95/1,165.41
  6. Step 6: Final answer
    x = 652.47

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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.