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Finding the Fourth Proportional to 760.14, 1,048.68 and 465.30

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Solution

The fourth proportional to 760.14, 1,048.68 and 465.30 is: 641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.14 : 1,048.68 = 465.30 : x
  2. Step 2: Convert to fraction form
    760.14/1,048.68 = 465.30/x
  3. Step 3: Cross multiply
    760.14x = 1,048.68 × 465.30
  4. Step 4: Simplify right side
    760.14x = 487,950.80
  5. Step 5: Solve for x
    x = 487,950.80/760.14
  6. Step 6: Final answer
    x = 641.92

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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.