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Finding the Fourth Proportional to 1,655.85, 2,483.76 and 560.23

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Solution

The fourth proportional to 1,655.85, 2,483.76 and 560.23 is: 840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.85 : 2,483.76 = 560.23 : x
  2. Step 2: Convert to fraction form
    1,655.85/2,483.76 = 560.23/x
  3. Step 3: Cross multiply
    1,655.85x = 2,483.76 × 560.23
  4. Step 4: Simplify right side
    1,655.85x = 1,391,472.76
  5. Step 5: Solve for x
    x = 1,391,472.76/1,655.85
  6. Step 6: Final answer
    x = 840.34

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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.