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Finding the Fourth Proportional to 760.16, 1,140.24 and 394.85

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Solution

The fourth proportional to 760.16, 1,140.24 and 394.85 is: 592.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.16 : 1,140.24 = 394.85 : x
  2. Step 2: Convert to fraction form
    760.16/1,140.24 = 394.85/x
  3. Step 3: Cross multiply
    760.16x = 1,140.24 × 394.85
  4. Step 4: Simplify right side
    760.16x = 450,223.76
  5. Step 5: Solve for x
    x = 450,223.76/760.16
  6. Step 6: Final answer
    x = 592.28

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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.