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Finding the Fourth Proportional to 830.51, 1,146.18 and 457.57

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Solution

The fourth proportional to 830.51, 1,146.18 and 457.57 is: 631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.51 : 1,146.18 = 457.57 : x
  2. Step 2: Convert to fraction form
    830.51/1,146.18 = 457.57/x
  3. Step 3: Cross multiply
    830.51x = 1,146.18 × 457.57
  4. Step 4: Simplify right side
    830.51x = 524,457.58
  5. Step 5: Solve for x
    x = 524,457.58/830.51
  6. Step 6: Final answer
    x = 631.49

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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.