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Finding the Fourth Proportional to 830.34, 1,145.71 and 498.65

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Solution

The fourth proportional to 830.34, 1,145.71 and 498.65 is: 688.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.34 : 1,145.71 = 498.65 : x
  2. Step 2: Convert to fraction form
    830.34/1,145.71 = 498.65/x
  3. Step 3: Cross multiply
    830.34x = 1,145.71 × 498.65
  4. Step 4: Simplify right side
    830.34x = 571,303.19
  5. Step 5: Solve for x
    x = 571,303.19/830.34
  6. Step 6: Final answer
    x = 688.04

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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.