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Finding the Fourth Proportional to 700.32, 967.32 and 590.16

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Solution

The fourth proportional to 700.32, 967.32 and 590.16 is: 815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.32 : 967.32 = 590.16 : x
  2. Step 2: Convert to fraction form
    700.32/967.32 = 590.16/x
  3. Step 3: Cross multiply
    700.32x = 967.32 × 590.16
  4. Step 4: Simplify right side
    700.32x = 570,873.57
  5. Step 5: Solve for x
    x = 570,873.57/700.32
  6. Step 6: Final answer
    x = 815.16

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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.