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Finding the Fourth Proportional to 760.08, 1,048.62 and 461.16

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Solution

The fourth proportional to 760.08, 1,048.62 and 461.16 is: 636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.08 : 1,048.62 = 461.16 : x
  2. Step 2: Convert to fraction form
    760.08/1,048.62 = 461.16/x
  3. Step 3: Cross multiply
    760.08x = 1,048.62 × 461.16
  4. Step 4: Simplify right side
    760.08x = 483,581.60
  5. Step 5: Solve for x
    x = 483,581.60/760.08
  6. Step 6: Final answer
    x = 636.22

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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.