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Finding the Fourth Proportional to 830.52, 1,146.12 and 457.53

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Solution

The fourth proportional to 830.52, 1,146.12 and 457.53 is: 631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.52 : 1,146.12 = 457.53 : x
  2. Step 2: Convert to fraction form
    830.52/1,146.12 = 457.53/x
  3. Step 3: Cross multiply
    830.52x = 1,146.12 × 457.53
  4. Step 4: Simplify right side
    830.52x = 524,384.28
  5. Step 5: Solve for x
    x = 524,384.28/830.52
  6. Step 6: Final answer
    x = 631.39

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Half scale
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Double scale
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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.