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Finding the Fourth Proportional to 1,564.48, 2,346.27 and 590.36

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Solution

The fourth proportional to 1,564.48, 2,346.27 and 590.36 is: 885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.48 : 2,346.27 = 590.36 : x
  2. Step 2: Convert to fraction form
    1,564.48/2,346.27 = 590.36/x
  3. Step 3: Cross multiply
    1,564.48x = 2,346.27 × 590.36
  4. Step 4: Simplify right side
    1,564.48x = 1,385,130.01
  5. Step 5: Solve for x
    x = 1,385,130.01/1,564.48
  6. Step 6: Final answer
    x = 885.36

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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.