Home / 1,165.14-1,748.34-434.84

Finding the Fourth Proportional to 1,165.14, 1,748.34 and 434.84

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Solution

The fourth proportional to 1,165.14, 1,748.34 and 434.84 is: 652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.14 : 1,748.34 = 434.84 : x
  2. Step 2: Convert to fraction form
    1,165.14/1,748.34 = 434.84/x
  3. Step 3: Cross multiply
    1,165.14x = 1,748.34 × 434.84
  4. Step 4: Simplify right side
    1,165.14x = 760,248.17
  5. Step 5: Solve for x
    x = 760,248.17/1,165.14
  6. Step 6: Final answer
    x = 652.50

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1.5x scale

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.