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Finding the Fourth Proportional to 1,042.35, 1,564.25 and 393.63

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Solution

The fourth proportional to 1,042.35, 1,564.25 and 393.63 is: 590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.35 : 1,564.25 = 393.63 : x
  2. Step 2: Convert to fraction form
    1,042.35/1,564.25 = 393.63/x
  3. Step 3: Cross multiply
    1,042.35x = 1,564.25 × 393.63
  4. Step 4: Simplify right side
    1,042.35x = 615,733.76
  5. Step 5: Solve for x
    x = 615,733.76/1,042.35
  6. Step 6: Final answer
    x = 590.72

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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.