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Finding the Fourth Proportional to 1,133.18, 1,698.74 and 402.58

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Solution

The fourth proportional to 1,133.18, 1,698.74 and 402.58 is: 603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.18 : 1,698.74 = 402.58 : x
  2. Step 2: Convert to fraction form
    1,133.18/1,698.74 = 402.58/x
  3. Step 3: Cross multiply
    1,133.18x = 1,698.74 × 402.58
  4. Step 4: Simplify right side
    1,133.18x = 683,883.61
  5. Step 5: Solve for x
    x = 683,883.61/1,133.18
  6. Step 6: Final answer
    x = 603.51

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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.