Home / 1,046.53-1,569.57-461.71

Finding the Fourth Proportional to 1,046.53, 1,569.57 and 461.71

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Solution

The fourth proportional to 1,046.53, 1,569.57 and 461.71 is: 692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.53 : 1,569.57 = 461.71 : x
  2. Step 2: Convert to fraction form
    1,046.53/1,569.57 = 461.71/x
  3. Step 3: Cross multiply
    1,046.53x = 1,569.57 × 461.71
  4. Step 4: Simplify right side
    1,046.53x = 724,686.16
  5. Step 5: Solve for x
    x = 724,686.16/1,046.53
  6. Step 6: Final answer
    x = 692.47

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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.