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Finding the Fourth Proportional to 1,156.23, 1,595.58 and 690.39

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Solution

The fourth proportional to 1,156.23, 1,595.58 and 690.39 is: 952.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.23 : 1,595.58 = 690.39 : x
  2. Step 2: Convert to fraction form
    1,156.23/1,595.58 = 690.39/x
  3. Step 3: Cross multiply
    1,156.23x = 1,595.58 × 690.39
  4. Step 4: Simplify right side
    1,156.23x = 1,101,572.48
  5. Step 5: Solve for x
    x = 1,101,572.48/1,156.23
  6. Step 6: Final answer
    x = 952.73

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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.