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Finding the Fourth Proportional to 1,009.60, 1,513.63 and 522.34

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Solution

The fourth proportional to 1,009.60, 1,513.63 and 522.34 is: 783.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.60 : 1,513.63 = 522.34 : x
  2. Step 2: Convert to fraction form
    1,009.60/1,513.63 = 522.34/x
  3. Step 3: Cross multiply
    1,009.60x = 1,513.63 × 522.34
  4. Step 4: Simplify right side
    1,009.60x = 790,619.31
  5. Step 5: Solve for x
    x = 790,619.31/1,009.60
  6. Step 6: Final answer
    x = 783.11

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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.