Home / 1,165.19-1,748.01-434.74

Finding the Fourth Proportional to 1,165.19, 1,748.01 and 434.74

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Solution

The fourth proportional to 1,165.19, 1,748.01 and 434.74 is: 652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.19 : 1,748.01 = 434.74 : x
  2. Step 2: Convert to fraction form
    1,165.19/1,748.01 = 434.74/x
  3. Step 3: Cross multiply
    1,165.19x = 1,748.01 × 434.74
  4. Step 4: Simplify right side
    1,165.19x = 759,931.65
  5. Step 5: Solve for x
    x = 759,931.65/1,165.19
  6. Step 6: Final answer
    x = 652.20

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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.