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Finding the Fourth Proportional to 760.24, 1,048.70 and 465.40

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Solution

The fourth proportional to 760.24, 1,048.70 and 465.40 is: 641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.24 : 1,048.70 = 465.40 : x
  2. Step 2: Convert to fraction form
    760.24/1,048.70 = 465.40/x
  3. Step 3: Cross multiply
    760.24x = 1,048.70 × 465.40
  4. Step 4: Simplify right side
    760.24x = 488,064.98
  5. Step 5: Solve for x
    x = 488,064.98/760.24
  6. Step 6: Final answer
    x = 641.99

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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.