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Finding the Fourth Proportional to 851.58, 1,275.45 and 526.14

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Solution

The fourth proportional to 851.58, 1,275.45 and 526.14 is: 788.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.58 : 1,275.45 = 526.14 : x
  2. Step 2: Convert to fraction form
    851.58/1,275.45 = 526.14/x
  3. Step 3: Cross multiply
    851.58x = 1,275.45 × 526.14
  4. Step 4: Simplify right side
    851.58x = 671,065.26
  5. Step 5: Solve for x
    x = 671,065.26/851.58
  6. Step 6: Final answer
    x = 788.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.