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Finding the Fourth Proportional to 1,006.85, 1,510.13 and 313.35

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Solution

The fourth proportional to 1,006.85, 1,510.13 and 313.35 is: 469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.85 : 1,510.13 = 313.35 : x
  2. Step 2: Convert to fraction form
    1,006.85/1,510.13 = 313.35/x
  3. Step 3: Cross multiply
    1,006.85x = 1,510.13 × 313.35
  4. Step 4: Simplify right side
    1,006.85x = 473,197.67
  5. Step 5: Solve for x
    x = 473,197.67/1,006.85
  6. Step 6: Final answer
    x = 469.98

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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.