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Finding the Fourth Proportional to 1,345.59, 2,019.16 and 565.53

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Solution

The fourth proportional to 1,345.59, 2,019.16 and 565.53 is: 848.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.59 : 2,019.16 = 565.53 : x
  2. Step 2: Convert to fraction form
    1,345.59/2,019.16 = 565.53/x
  3. Step 3: Cross multiply
    1,345.59x = 2,019.16 × 565.53
  4. Step 4: Simplify right side
    1,345.59x = 1,141,884.05
  5. Step 5: Solve for x
    x = 1,141,884.05/1,345.59
  6. Step 6: Final answer
    x = 848.62

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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.