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Finding the Fourth Proportional to 1,585.69, 2,378.70 and 545.40

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Solution

The fourth proportional to 1,585.69, 2,378.70 and 545.40 is: 818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.69 : 2,378.70 = 545.40 : x
  2. Step 2: Convert to fraction form
    1,585.69/2,378.70 = 545.40/x
  3. Step 3: Cross multiply
    1,585.69x = 2,378.70 × 545.40
  4. Step 4: Simplify right side
    1,585.69x = 1,297,342.98
  5. Step 5: Solve for x
    x = 1,297,342.98/1,585.69
  6. Step 6: Final answer
    x = 818.16

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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.