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Finding the Fourth Proportional to 740.24, 1,109.56 and 596.08

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Solution

The fourth proportional to 740.24, 1,109.56 and 596.08 is: 893.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.24 : 1,109.56 = 596.08 : x
  2. Step 2: Convert to fraction form
    740.24/1,109.56 = 596.08/x
  3. Step 3: Cross multiply
    740.24x = 1,109.56 × 596.08
  4. Step 4: Simplify right side
    740.24x = 661,386.52
  5. Step 5: Solve for x
    x = 661,386.52/740.24
  6. Step 6: Final answer
    x = 893.48

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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.