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Finding the Fourth Proportional to 1,095.36, 1,641.94 and 437.00

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Solution

The fourth proportional to 1,095.36, 1,641.94 and 437.00 is: 655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.36 : 1,641.94 = 437.00 : x
  2. Step 2: Convert to fraction form
    1,095.36/1,641.94 = 437.00/x
  3. Step 3: Cross multiply
    1,095.36x = 1,641.94 × 437.00
  4. Step 4: Simplify right side
    1,095.36x = 717,518.48
  5. Step 5: Solve for x
    x = 717,518.48/1,095.36
  6. Step 6: Final answer
    x = 655.05

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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.