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Finding the Fourth Proportional to 1,019.51, 1,529.72 and 586.67

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Solution

The fourth proportional to 1,019.51, 1,529.72 and 586.67 is: 880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.51 : 1,529.72 = 586.67 : x
  2. Step 2: Convert to fraction form
    1,019.51/1,529.72 = 586.67/x
  3. Step 3: Cross multiply
    1,019.51x = 1,529.72 × 586.67
  4. Step 4: Simplify right side
    1,019.51x = 897,430.25
  5. Step 5: Solve for x
    x = 897,430.25/1,019.51
  6. Step 6: Final answer
    x = 880.26

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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.