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Finding the Fourth Proportional to 830.59, 1,146.23 and 457.59

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Solution

The fourth proportional to 830.59, 1,146.23 and 457.59 is: 631.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.59 : 1,146.23 = 457.59 : x
  2. Step 2: Convert to fraction form
    830.59/1,146.23 = 457.59/x
  3. Step 3: Cross multiply
    830.59x = 1,146.23 × 457.59
  4. Step 4: Simplify right side
    830.59x = 524,501.10
  5. Step 5: Solve for x
    x = 524,501.10/830.59
  6. Step 6: Final answer
    x = 631.48

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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.