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Finding the Fourth Proportional to 1,564.68, 2,346.88 and 590.64

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Solution

The fourth proportional to 1,564.68, 2,346.88 and 590.64 is: 885.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.68 : 2,346.88 = 590.64 : x
  2. Step 2: Convert to fraction form
    1,564.68/2,346.88 = 590.64/x
  3. Step 3: Cross multiply
    1,564.68x = 2,346.88 × 590.64
  4. Step 4: Simplify right side
    1,564.68x = 1,386,161.20
  5. Step 5: Solve for x
    x = 1,386,161.20/1,564.68
  6. Step 6: Final answer
    x = 885.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.