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Finding the Fourth Proportional to 760.54, 1,049.50 and 424.44

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Solution

The fourth proportional to 760.54, 1,049.50 and 424.44 is: 585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.54 : 1,049.50 = 424.44 : x
  2. Step 2: Convert to fraction form
    760.54/1,049.50 = 424.44/x
  3. Step 3: Cross multiply
    760.54x = 1,049.50 × 424.44
  4. Step 4: Simplify right side
    760.54x = 445,449.78
  5. Step 5: Solve for x
    x = 445,449.78/760.54
  6. Step 6: Final answer
    x = 585.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.