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Finding the Fourth Proportional to 760.34, 1,140.58 and 375.50

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Solution

The fourth proportional to 760.34, 1,140.58 and 375.50 is: 563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.34 : 1,140.58 = 375.50 : x
  2. Step 2: Convert to fraction form
    760.34/1,140.58 = 375.50/x
  3. Step 3: Cross multiply
    760.34x = 1,140.58 × 375.50
  4. Step 4: Simplify right side
    760.34x = 428,287.79
  5. Step 5: Solve for x
    x = 428,287.79/760.34
  6. Step 6: Final answer
    x = 563.28

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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.