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Finding the Fourth Proportional to 1,346.13, 2,017.74 and 565.93

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Solution

The fourth proportional to 1,346.13, 2,017.74 and 565.93 is: 848.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.13 : 2,017.74 = 565.93 : x
  2. Step 2: Convert to fraction form
    1,346.13/2,017.74 = 565.93/x
  3. Step 3: Cross multiply
    1,346.13x = 2,017.74 × 565.93
  4. Step 4: Simplify right side
    1,346.13x = 1,141,899.60
  5. Step 5: Solve for x
    x = 1,141,899.60/1,346.13
  6. Step 6: Final answer
    x = 848.28

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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.