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Finding the Fourth Proportional to 740.04, 1,021.59 and 582.30

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Solution

The fourth proportional to 740.04, 1,021.59 and 582.30 is: 803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.04 : 1,021.59 = 582.30 : x
  2. Step 2: Convert to fraction form
    740.04/1,021.59 = 582.30/x
  3. Step 3: Cross multiply
    740.04x = 1,021.59 × 582.30
  4. Step 4: Simplify right side
    740.04x = 594,871.86
  5. Step 5: Solve for x
    x = 594,871.86/740.04
  6. Step 6: Final answer
    x = 803.84

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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.