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Finding the Fourth Proportional to 1,411.48, 2,117.04 and 545.50

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Solution

The fourth proportional to 1,411.48, 2,117.04 and 545.50 is: 818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.48 : 2,117.04 = 545.50 : x
  2. Step 2: Convert to fraction form
    1,411.48/2,117.04 = 545.50/x
  3. Step 3: Cross multiply
    1,411.48x = 2,117.04 × 545.50
  4. Step 4: Simplify right side
    1,411.48x = 1,154,845.32
  5. Step 5: Solve for x
    x = 1,154,845.32/1,411.48
  6. Step 6: Final answer
    x = 818.18

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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.