Home / 1,530.32-2,295.44-434.76

Finding the Fourth Proportional to 1,530.32, 2,295.44 and 434.76

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Solution

The fourth proportional to 1,530.32, 2,295.44 and 434.76 is: 652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.32 : 2,295.44 = 434.76 : x
  2. Step 2: Convert to fraction form
    1,530.32/2,295.44 = 434.76/x
  3. Step 3: Cross multiply
    1,530.32x = 2,295.44 × 434.76
  4. Step 4: Simplify right side
    1,530.32x = 997,965.49
  5. Step 5: Solve for x
    x = 997,965.49/1,530.32
  6. Step 6: Final answer
    x = 652.13

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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.