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Finding the Fourth Proportional to 830.34, 1,145.87 and 457.32

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Solution

The fourth proportional to 830.34, 1,145.87 and 457.32 is: 631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.34 : 1,145.87 = 457.32 : x
  2. Step 2: Convert to fraction form
    830.34/1,145.87 = 457.32/x
  3. Step 3: Cross multiply
    830.34x = 1,145.87 × 457.32
  4. Step 4: Simplify right side
    830.34x = 524,023.72
  5. Step 5: Solve for x
    x = 524,023.72/830.34
  6. Step 6: Final answer
    x = 631.09

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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.