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Finding the Fourth Proportional to 684.74, 942.90 and 586.28

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Solution

The fourth proportional to 684.74, 942.90 and 586.28 is: 807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.74 : 942.90 = 586.28 : x
  2. Step 2: Convert to fraction form
    684.74/942.90 = 586.28/x
  3. Step 3: Cross multiply
    684.74x = 942.90 × 586.28
  4. Step 4: Simplify right side
    684.74x = 552,803.41
  5. Step 5: Solve for x
    x = 552,803.41/684.74
  6. Step 6: Final answer
    x = 807.32

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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.