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Finding the Fourth Proportional to 1,363.76, 2,045.04 and 497.84

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Solution

The fourth proportional to 1,363.76, 2,045.04 and 497.84 is: 746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.76 : 2,045.04 = 497.84 : x
  2. Step 2: Convert to fraction form
    1,363.76/2,045.04 = 497.84/x
  3. Step 3: Cross multiply
    1,363.76x = 2,045.04 × 497.84
  4. Step 4: Simplify right side
    1,363.76x = 1,018,102.71
  5. Step 5: Solve for x
    x = 1,018,102.71/1,363.76
  6. Step 6: Final answer
    x = 746.54

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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.