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Finding the Fourth Proportional to 1,017.93, 1,527.10 and 432.93

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Solution

The fourth proportional to 1,017.93, 1,527.10 and 432.93 is: 649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.93 : 1,527.10 = 432.93 : x
  2. Step 2: Convert to fraction form
    1,017.93/1,527.10 = 432.93/x
  3. Step 3: Cross multiply
    1,017.93x = 1,527.10 × 432.93
  4. Step 4: Simplify right side
    1,017.93x = 661,120.59
  5. Step 5: Solve for x
    x = 661,120.59/1,017.93
  6. Step 6: Final answer
    x = 649.48

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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.