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Finding the Fourth Proportional to 760.90, 1,049.66 and 465.66

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Solution

The fourth proportional to 760.90, 1,049.66 and 465.66 is: 642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.90 : 1,049.66 = 465.66 : x
  2. Step 2: Convert to fraction form
    760.90/1,049.66 = 465.66/x
  3. Step 3: Cross multiply
    760.90x = 1,049.66 × 465.66
  4. Step 4: Simplify right side
    760.90x = 488,784.68
  5. Step 5: Solve for x
    x = 488,784.68/760.90
  6. Step 6: Final answer
    x = 642.38

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1.5x scale

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.