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Finding the Fourth Proportional to 1,006.58, 1,510.04 and 313.08

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Solution

The fourth proportional to 1,006.58, 1,510.04 and 313.08 is: 469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.58 : 1,510.04 = 313.08 : x
  2. Step 2: Convert to fraction form
    1,006.58/1,510.04 = 313.08/x
  3. Step 3: Cross multiply
    1,006.58x = 1,510.04 × 313.08
  4. Step 4: Simplify right side
    1,006.58x = 472,761.76
  5. Step 5: Solve for x
    x = 472,761.76/1,006.58
  6. Step 6: Final answer
    x = 469.67

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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.