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Finding the Fourth Proportional to 760.24, 1,140.43 and 434.89

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Solution

The fourth proportional to 760.24, 1,140.43 and 434.89 is: 652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.24 : 1,140.43 = 434.89 : x
  2. Step 2: Convert to fraction form
    760.24/1,140.43 = 434.89/x
  3. Step 3: Cross multiply
    760.24x = 1,140.43 × 434.89
  4. Step 4: Simplify right side
    760.24x = 495,961.60
  5. Step 5: Solve for x
    x = 495,961.60/760.24
  6. Step 6: Final answer
    x = 652.38

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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.