Home / 1,513.06-2,269.60-417.40

Finding the Fourth Proportional to 1,513.06, 2,269.60 and 417.40

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Solution

The fourth proportional to 1,513.06, 2,269.60 and 417.40 is: 626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.06 : 2,269.60 = 417.40 : x
  2. Step 2: Convert to fraction form
    1,513.06/2,269.60 = 417.40/x
  3. Step 3: Cross multiply
    1,513.06x = 2,269.60 × 417.40
  4. Step 4: Simplify right side
    1,513.06x = 947,331.04
  5. Step 5: Solve for x
    x = 947,331.04/1,513.06
  6. Step 6: Final answer
    x = 626.10

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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.