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Finding the Fourth Proportional to 760.84, 1,143.08 and 487.46

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Solution

The fourth proportional to 760.84, 1,143.08 and 487.46 is: 732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.84 : 1,143.08 = 487.46 : x
  2. Step 2: Convert to fraction form
    760.84/1,143.08 = 487.46/x
  3. Step 3: Cross multiply
    760.84x = 1,143.08 × 487.46
  4. Step 4: Simplify right side
    760.84x = 557,205.78
  5. Step 5: Solve for x
    x = 557,205.78/760.84
  6. Step 6: Final answer
    x = 732.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.