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Finding the Fourth Proportional to 760.36, 1,140.54 and 349.90

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Solution

The fourth proportional to 760.36, 1,140.54 and 349.90 is: 524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.36 : 1,140.54 = 349.90 : x
  2. Step 2: Convert to fraction form
    760.36/1,140.54 = 349.90/x
  3. Step 3: Cross multiply
    760.36x = 1,140.54 × 349.90
  4. Step 4: Simplify right side
    760.36x = 399,074.95
  5. Step 5: Solve for x
    x = 399,074.95/760.36
  6. Step 6: Final answer
    x = 524.85

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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.