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Finding the Fourth Proportional to 1,092.16, 1,637.84 and 598.93

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Solution

The fourth proportional to 1,092.16, 1,637.84 and 598.93 is: 898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.16 : 1,637.84 = 598.93 : x
  2. Step 2: Convert to fraction form
    1,092.16/1,637.84 = 598.93/x
  3. Step 3: Cross multiply
    1,092.16x = 1,637.84 × 598.93
  4. Step 4: Simplify right side
    1,092.16x = 980,951.51
  5. Step 5: Solve for x
    x = 980,951.51/1,092.16
  6. Step 6: Final answer
    x = 898.18

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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.