Home / 1,165.59-1,746.77-434.57

Finding the Fourth Proportional to 1,165.59, 1,746.77 and 434.57

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Solution

The fourth proportional to 1,165.59, 1,746.77 and 434.57 is: 651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.59 : 1,746.77 = 434.57 : x
  2. Step 2: Convert to fraction form
    1,165.59/1,746.77 = 434.57/x
  3. Step 3: Cross multiply
    1,165.59x = 1,746.77 × 434.57
  4. Step 4: Simplify right side
    1,165.59x = 759,082.93
  5. Step 5: Solve for x
    x = 759,082.93/1,165.59
  6. Step 6: Final answer
    x = 651.24

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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.