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Finding the Fourth Proportional to 1,564.95, 2,346.34 and 590.79

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Solution

The fourth proportional to 1,564.95, 2,346.34 and 590.79 is: 885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.95 : 2,346.34 = 590.79 : x
  2. Step 2: Convert to fraction form
    1,564.95/2,346.34 = 590.79/x
  3. Step 3: Cross multiply
    1,564.95x = 2,346.34 × 590.79
  4. Step 4: Simplify right side
    1,564.95x = 1,386,194.21
  5. Step 5: Solve for x
    x = 1,386,194.21/1,564.95
  6. Step 6: Final answer
    x = 885.78

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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.