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Finding the Fourth Proportional to 564.64, 848.58 and 526.12

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Solution

The fourth proportional to 564.64, 848.58 and 526.12 is: 790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.64 : 848.58 = 526.12 : x
  2. Step 2: Convert to fraction form
    564.64/848.58 = 526.12/x
  3. Step 3: Cross multiply
    564.64x = 848.58 × 526.12
  4. Step 4: Simplify right side
    564.64x = 446,454.91
  5. Step 5: Solve for x
    x = 446,454.91/564.64
  6. Step 6: Final answer
    x = 790.69

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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.