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Finding the Fourth Proportional to 1,407.59, 2,111.01 and 420.17

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Solution

The fourth proportional to 1,407.59, 2,111.01 and 420.17 is: 630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.59 : 2,111.01 = 420.17 : x
  2. Step 2: Convert to fraction form
    1,407.59/2,111.01 = 420.17/x
  3. Step 3: Cross multiply
    1,407.59x = 2,111.01 × 420.17
  4. Step 4: Simplify right side
    1,407.59x = 886,983.07
  5. Step 5: Solve for x
    x = 886,983.07/1,407.59
  6. Step 6: Final answer
    x = 630.14

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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.