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Finding the Fourth Proportional to 760.76, 1,140.82 and 350.18

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Solution

The fourth proportional to 760.76, 1,140.82 and 350.18 is: 525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.76 : 1,140.82 = 350.18 : x
  2. Step 2: Convert to fraction form
    760.76/1,140.82 = 350.18/x
  3. Step 3: Cross multiply
    760.76x = 1,140.82 × 350.18
  4. Step 4: Simplify right side
    760.76x = 399,492.35
  5. Step 5: Solve for x
    x = 399,492.35/760.76
  6. Step 6: Final answer
    x = 525.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.