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Finding the Fourth Proportional to 740.34, 1,109.43 and 586.17

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Solution

The fourth proportional to 740.34, 1,109.43 and 586.17 is: 878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.34 : 1,109.43 = 586.17 : x
  2. Step 2: Convert to fraction form
    740.34/1,109.43 = 586.17/x
  3. Step 3: Cross multiply
    740.34x = 1,109.43 × 586.17
  4. Step 4: Simplify right side
    740.34x = 650,314.58
  5. Step 5: Solve for x
    x = 650,314.58/740.34
  6. Step 6: Final answer
    x = 878.40

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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.