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Finding the Fourth Proportional to 1,018.16, 1,526.14 and 497.84

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Solution

The fourth proportional to 1,018.16, 1,526.14 and 497.84 is: 746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.16 : 1,526.14 = 497.84 : x
  2. Step 2: Convert to fraction form
    1,018.16/1,526.14 = 497.84/x
  3. Step 3: Cross multiply
    1,018.16x = 1,526.14 × 497.84
  4. Step 4: Simplify right side
    1,018.16x = 759,773.54
  5. Step 5: Solve for x
    x = 759,773.54/1,018.16
  6. Step 6: Final answer
    x = 746.22

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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.