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Finding the Fourth Proportional to 760.12, 1,049.10 and 465.64

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Solution

The fourth proportional to 760.12, 1,049.10 and 465.64 is: 642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.12 : 1,049.10 = 465.64 : x
  2. Step 2: Convert to fraction form
    760.12/1,049.10 = 465.64/x
  3. Step 3: Cross multiply
    760.12x = 1,049.10 × 465.64
  4. Step 4: Simplify right side
    760.12x = 488,502.92
  5. Step 5: Solve for x
    x = 488,502.92/760.12
  6. Step 6: Final answer
    x = 642.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.