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Finding the Fourth Proportional to 1,061.40, 1,592.16 and 513.64

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Solution

The fourth proportional to 1,061.40, 1,592.16 and 513.64 is: 770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.40 : 1,592.16 = 513.64 : x
  2. Step 2: Convert to fraction form
    1,061.40/1,592.16 = 513.64/x
  3. Step 3: Cross multiply
    1,061.40x = 1,592.16 × 513.64
  4. Step 4: Simplify right side
    1,061.40x = 817,797.06
  5. Step 5: Solve for x
    x = 817,797.06/1,061.40
  6. Step 6: Final answer
    x = 770.49

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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.