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Finding the Fourth Proportional to 1,009.25, 1,513.06 and 432.53

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Solution

The fourth proportional to 1,009.25, 1,513.06 and 432.53 is: 648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.25 : 1,513.06 = 432.53 : x
  2. Step 2: Convert to fraction form
    1,009.25/1,513.06 = 432.53/x
  3. Step 3: Cross multiply
    1,009.25x = 1,513.06 × 432.53
  4. Step 4: Simplify right side
    1,009.25x = 654,440.87
  5. Step 5: Solve for x
    x = 654,440.87/1,009.25
  6. Step 6: Final answer
    x = 648.44

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Double scale
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1.5x scale

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.