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Finding the Fourth Proportional to 1,009.50, 1,514.93 and 432.51

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Solution

The fourth proportional to 1,009.50, 1,514.93 and 432.51 is: 649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.50 : 1,514.93 = 432.51 : x
  2. Step 2: Convert to fraction form
    1,009.50/1,514.93 = 432.51/x
  3. Step 3: Cross multiply
    1,009.50x = 1,514.93 × 432.51
  4. Step 4: Simplify right side
    1,009.50x = 655,220.21
  5. Step 5: Solve for x
    x = 655,220.21/1,009.50
  6. Step 6: Final answer
    x = 649.05

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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.