Home / 1,094.29-1,641.05-314.08

Finding the Fourth Proportional to 1,094.29, 1,641.05 and 314.08

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Solution

The fourth proportional to 1,094.29, 1,641.05 and 314.08 is: 471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.29 : 1,641.05 = 314.08 : x
  2. Step 2: Convert to fraction form
    1,094.29/1,641.05 = 314.08/x
  3. Step 3: Cross multiply
    1,094.29x = 1,641.05 × 314.08
  4. Step 4: Simplify right side
    1,094.29x = 515,417.67
  5. Step 5: Solve for x
    x = 515,417.67/1,094.29
  6. Step 6: Final answer
    x = 471.01

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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.