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Finding the Fourth Proportional to 1,165.87, 1,748.76 and 435.45

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Solution

The fourth proportional to 1,165.87, 1,748.76 and 435.45 is: 653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.87 : 1,748.76 = 435.45 : x
  2. Step 2: Convert to fraction form
    1,165.87/1,748.76 = 435.45/x
  3. Step 3: Cross multiply
    1,165.87x = 1,748.76 × 435.45
  4. Step 4: Simplify right side
    1,165.87x = 761,497.54
  5. Step 5: Solve for x
    x = 761,497.54/1,165.87
  6. Step 6: Final answer
    x = 653.16

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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.