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Finding the Fourth Proportional to 1,564.61, 2,345.99 and 590.78

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Solution

The fourth proportional to 1,564.61, 2,345.99 and 590.78 is: 885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.61 : 2,345.99 = 590.78 : x
  2. Step 2: Convert to fraction form
    1,564.61/2,345.99 = 590.78/x
  3. Step 3: Cross multiply
    1,564.61x = 2,345.99 × 590.78
  4. Step 4: Simplify right side
    1,564.61x = 1,385,949.29
  5. Step 5: Solve for x
    x = 1,385,949.29/1,564.61
  6. Step 6: Final answer
    x = 885.81

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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.