Home / 1,163.59-1,746.08-616.16

Finding the Fourth Proportional to 1,163.59, 1,746.08 and 616.16

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Solution

The fourth proportional to 1,163.59, 1,746.08 and 616.16 is: 924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.59 : 1,746.08 = 616.16 : x
  2. Step 2: Convert to fraction form
    1,163.59/1,746.08 = 616.16/x
  3. Step 3: Cross multiply
    1,163.59x = 1,746.08 × 616.16
  4. Step 4: Simplify right side
    1,163.59x = 1,075,864.65
  5. Step 5: Solve for x
    x = 1,075,864.65/1,163.59
  6. Step 6: Final answer
    x = 924.61

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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.