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Finding the Fourth Proportional to 750.76, 1,035.92 and 419.18

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Solution

The fourth proportional to 750.76, 1,035.92 and 419.18 is: 578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.76 : 1,035.92 = 419.18 : x
  2. Step 2: Convert to fraction form
    750.76/1,035.92 = 419.18/x
  3. Step 3: Cross multiply
    750.76x = 1,035.92 × 419.18
  4. Step 4: Simplify right side
    750.76x = 434,236.95
  5. Step 5: Solve for x
    x = 434,236.95/750.76
  6. Step 6: Final answer
    x = 578.40

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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.