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Finding the Fourth Proportional to 1,017.34, 1,526.02 and 469.98

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Solution

The fourth proportional to 1,017.34, 1,526.02 and 469.98 is: 704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.34 : 1,526.02 = 469.98 : x
  2. Step 2: Convert to fraction form
    1,017.34/1,526.02 = 469.98/x
  3. Step 3: Cross multiply
    1,017.34x = 1,526.02 × 469.98
  4. Step 4: Simplify right side
    1,017.34x = 717,197.70
  5. Step 5: Solve for x
    x = 717,197.70/1,017.34
  6. Step 6: Final answer
    x = 704.98

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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.