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Finding the Fourth Proportional to 760.29, 1,140.48 and 205.08

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Solution

The fourth proportional to 760.29, 1,140.48 and 205.08 is: 307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.29 : 1,140.48 = 205.08 : x
  2. Step 2: Convert to fraction form
    760.29/1,140.48 = 205.08/x
  3. Step 3: Cross multiply
    760.29x = 1,140.48 × 205.08
  4. Step 4: Simplify right side
    760.29x = 233,889.64
  5. Step 5: Solve for x
    x = 233,889.64/760.29
  6. Step 6: Final answer
    x = 307.63

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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.