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Finding the Fourth Proportional to 1,047.46, 1,572.73 and 586.14

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Solution

The fourth proportional to 1,047.46, 1,572.73 and 586.14 is: 880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.46 : 1,572.73 = 586.14 : x
  2. Step 2: Convert to fraction form
    1,047.46/1,572.73 = 586.14/x
  3. Step 3: Cross multiply
    1,047.46x = 1,572.73 × 586.14
  4. Step 4: Simplify right side
    1,047.46x = 921,838.50
  5. Step 5: Solve for x
    x = 921,838.50/1,047.46
  6. Step 6: Final answer
    x = 880.07

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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.