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Finding the Fourth Proportional to 1,165.86, 1,748.25 and 435.42

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Solution

The fourth proportional to 1,165.86, 1,748.25 and 435.42 is: 652.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.86 : 1,748.25 = 435.42 : x
  2. Step 2: Convert to fraction form
    1,165.86/1,748.25 = 435.42/x
  3. Step 3: Cross multiply
    1,165.86x = 1,748.25 × 435.42
  4. Step 4: Simplify right side
    1,165.86x = 761,223.02
  5. Step 5: Solve for x
    x = 761,223.02/1,165.86
  6. Step 6: Final answer
    x = 652.93

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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.