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Finding the Fourth Proportional to 918.19, 1,377.13 and 260.02

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Solution

The fourth proportional to 918.19, 1,377.13 and 260.02 is: 389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.19 : 1,377.13 = 260.02 : x
  2. Step 2: Convert to fraction form
    918.19/1,377.13 = 260.02/x
  3. Step 3: Cross multiply
    918.19x = 1,377.13 × 260.02
  4. Step 4: Simplify right side
    918.19x = 358,081.34
  5. Step 5: Solve for x
    x = 358,081.34/918.19
  6. Step 6: Final answer
    x = 389.99

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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.