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Finding the Fourth Proportional to 840.95, 1,260.14 and 430.19

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Solution

The fourth proportional to 840.95, 1,260.14 and 430.19 is: 644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.95 : 1,260.14 = 430.19 : x
  2. Step 2: Convert to fraction form
    840.95/1,260.14 = 430.19/x
  3. Step 3: Cross multiply
    840.95x = 1,260.14 × 430.19
  4. Step 4: Simplify right side
    840.95x = 542,095.90
  5. Step 5: Solve for x
    x = 542,095.90/840.95
  6. Step 6: Final answer
    x = 644.62

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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.