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Finding the Fourth Proportional to 1,165.42, 1,748.32 and 385.64

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Solution

The fourth proportional to 1,165.42, 1,748.32 and 385.64 is: 578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.42 : 1,748.32 = 385.64 : x
  2. Step 2: Convert to fraction form
    1,165.42/1,748.32 = 385.64/x
  3. Step 3: Cross multiply
    1,165.42x = 1,748.32 × 385.64
  4. Step 4: Simplify right side
    1,165.42x = 674,220.20
  5. Step 5: Solve for x
    x = 674,220.20/1,165.42
  6. Step 6: Final answer
    x = 578.52

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1.5x scale

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.