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Finding the Fourth Proportional to 698.04, 1,046.64 and 595.35

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Solution

The fourth proportional to 698.04, 1,046.64 and 595.35 is: 892.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.04 : 1,046.64 = 595.35 : x
  2. Step 2: Convert to fraction form
    698.04/1,046.64 = 595.35/x
  3. Step 3: Cross multiply
    698.04x = 1,046.64 × 595.35
  4. Step 4: Simplify right side
    698.04x = 623,117.12
  5. Step 5: Solve for x
    x = 623,117.12/698.04
  6. Step 6: Final answer
    x = 892.67

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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.