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Finding the Fourth Proportional to 1,360.04, 2,038.98 and 590

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Solution

The fourth proportional to 1,360.04, 2,038.98 and 590 is: 884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.04 : 2,038.98 = 590 : x
  2. Step 2: Convert to fraction form
    1,360.04/2,038.98 = 590/x
  3. Step 3: Cross multiply
    1,360.04x = 2,038.98 × 590
  4. Step 4: Simplify right side
    1,360.04x = 1,202,998.20
  5. Step 5: Solve for x
    x = 1,202,998.20/1,360.04
  6. Step 6: Final answer
    x = 884.53

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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.