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Finding the Fourth Proportional to 830.23, 1,145.47 and 498.54

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Solution

The fourth proportional to 830.23, 1,145.47 and 498.54 is: 687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.23 : 1,145.47 = 498.54 : x
  2. Step 2: Convert to fraction form
    830.23/1,145.47 = 498.54/x
  3. Step 3: Cross multiply
    830.23x = 1,145.47 × 498.54
  4. Step 4: Simplify right side
    830.23x = 571,062.61
  5. Step 5: Solve for x
    x = 571,062.61/830.23
  6. Step 6: Final answer
    x = 687.84

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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.