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Finding the Fourth Proportional to 945.68, 1,417.10 and 534.90

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Solution

The fourth proportional to 945.68, 1,417.10 and 534.90 is: 801.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.68 : 1,417.10 = 534.90 : x
  2. Step 2: Convert to fraction form
    945.68/1,417.10 = 534.90/x
  3. Step 3: Cross multiply
    945.68x = 1,417.10 × 534.90
  4. Step 4: Simplify right side
    945.68x = 758,009.43
  5. Step 5: Solve for x
    x = 758,009.43/945.68
  6. Step 6: Final answer
    x = 801.55

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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.