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Finding the Fourth Proportional to 1,506, 2,259 and 594

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Solution

The fourth proportional to 1,506, 2,259 and 594 is: 891

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506 : 2,259 = 594 : x
  2. Step 2: Convert to fraction form
    1,506/2,259 = 594/x
  3. Step 3: Cross multiply
    1,506x = 2,259 × 594
  4. Step 4: Simplify right side
    1,506x = 1,341,846
  5. Step 5: Solve for x
    x = 1,341,846/1,506
  6. Step 6: Final answer
    x = 891

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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.