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Finding the Fourth Proportional to 1,118.76, 1,678.95 and 469.92

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Solution

The fourth proportional to 1,118.76, 1,678.95 and 469.92 is: 705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.76 : 1,678.95 = 469.92 : x
  2. Step 2: Convert to fraction form
    1,118.76/1,678.95 = 469.92/x
  3. Step 3: Cross multiply
    1,118.76x = 1,678.95 × 469.92
  4. Step 4: Simplify right side
    1,118.76x = 788,972.18
  5. Step 5: Solve for x
    x = 788,972.18/1,118.76
  6. Step 6: Final answer
    x = 705.22

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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.