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Finding the Fourth Proportional to 1,009.95, 1,513.29 and 424.47

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Solution

The fourth proportional to 1,009.95, 1,513.29 and 424.47 is: 636.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.95 : 1,513.29 = 424.47 : x
  2. Step 2: Convert to fraction form
    1,009.95/1,513.29 = 424.47/x
  3. Step 3: Cross multiply
    1,009.95x = 1,513.29 × 424.47
  4. Step 4: Simplify right side
    1,009.95x = 642,346.21
  5. Step 5: Solve for x
    x = 642,346.21/1,009.95
  6. Step 6: Final answer
    x = 636.02

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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.