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Finding the Fourth Proportional to 1,564.69, 2,347.39 and 590.80

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Solution

The fourth proportional to 1,564.69, 2,347.39 and 590.80 is: 886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.69 : 2,347.39 = 590.80 : x
  2. Step 2: Convert to fraction form
    1,564.69/2,347.39 = 590.80/x
  3. Step 3: Cross multiply
    1,564.69x = 2,347.39 × 590.80
  4. Step 4: Simplify right side
    1,564.69x = 1,386,838.01
  5. Step 5: Solve for x
    x = 1,386,838.01/1,564.69
  6. Step 6: Final answer
    x = 886.33

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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.