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Finding the Fourth Proportional to 830.53, 1,146.13 and 457.50

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Solution

The fourth proportional to 830.53, 1,146.13 and 457.50 is: 631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.53 : 1,146.13 = 457.50 : x
  2. Step 2: Convert to fraction form
    830.53/1,146.13 = 457.50/x
  3. Step 3: Cross multiply
    830.53x = 1,146.13 × 457.50
  4. Step 4: Simplify right side
    830.53x = 524,357.63
  5. Step 5: Solve for x
    x = 524,357.63/830.53
  6. Step 6: Final answer
    x = 631.35

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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.