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Finding the Fourth Proportional to 1,506.13, 2,259.02 and 410.58

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Solution

The fourth proportional to 1,506.13, 2,259.02 and 410.58 is: 615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.13 : 2,259.02 = 410.58 : x
  2. Step 2: Convert to fraction form
    1,506.13/2,259.02 = 410.58/x
  3. Step 3: Cross multiply
    1,506.13x = 2,259.02 × 410.58
  4. Step 4: Simplify right side
    1,506.13x = 927,495.08
  5. Step 5: Solve for x
    x = 927,495.08/1,506.13
  6. Step 6: Final answer
    x = 615.82

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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.