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Finding the Fourth Proportional to 1,973.59, 2,960.68 and 586.76

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Solution

The fourth proportional to 1,973.59, 2,960.68 and 586.76 is: 880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.59 : 2,960.68 = 586.76 : x
  2. Step 2: Convert to fraction form
    1,973.59/2,960.68 = 586.76/x
  3. Step 3: Cross multiply
    1,973.59x = 2,960.68 × 586.76
  4. Step 4: Simplify right side
    1,973.59x = 1,737,214.53
  5. Step 5: Solve for x
    x = 1,737,214.53/1,973.59
  6. Step 6: Final answer
    x = 880.23

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1.5x scale

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.