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Finding the Fourth Proportional to 1,156.10, 1,595.56 and 658.85

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Solution

The fourth proportional to 1,156.10, 1,595.56 and 658.85 is: 909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.10 : 1,595.56 = 658.85 : x
  2. Step 2: Convert to fraction form
    1,156.10/1,595.56 = 658.85/x
  3. Step 3: Cross multiply
    1,156.10x = 1,595.56 × 658.85
  4. Step 4: Simplify right side
    1,156.10x = 1,051,237.05
  5. Step 5: Solve for x
    x = 1,051,237.05/1,156.10
  6. Step 6: Final answer
    x = 909.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.