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Finding the Fourth Proportional to 760.34, 1,140.51 and 437.96

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Solution

The fourth proportional to 760.34, 1,140.51 and 437.96 is: 656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.34 : 1,140.51 = 437.96 : x
  2. Step 2: Convert to fraction form
    760.34/1,140.51 = 437.96/x
  3. Step 3: Cross multiply
    760.34x = 1,140.51 × 437.96
  4. Step 4: Simplify right side
    760.34x = 499,497.76
  5. Step 5: Solve for x
    x = 499,497.76/760.34
  6. Step 6: Final answer
    x = 656.94

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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.