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Finding the Fourth Proportional to 1,140.15, 1,572.30 and 846.12

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Solution

The fourth proportional to 1,140.15, 1,572.30 and 846.12 is: 1,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.15 : 1,572.30 = 846.12 : x
  2. Step 2: Convert to fraction form
    1,140.15/1,572.30 = 846.12/x
  3. Step 3: Cross multiply
    1,140.15x = 1,572.30 × 846.12
  4. Step 4: Simplify right side
    1,140.15x = 1,330,354.48
  5. Step 5: Solve for x
    x = 1,330,354.48/1,140.15
  6. Step 6: Final answer
    x = 1,166.82

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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.