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Finding the Fourth Proportional to 1,509.66, 2,264.86 and 631.68

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Solution

The fourth proportional to 1,509.66, 2,264.86 and 631.68 is: 947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.66 : 2,264.86 = 631.68 : x
  2. Step 2: Convert to fraction form
    1,509.66/2,264.86 = 631.68/x
  3. Step 3: Cross multiply
    1,509.66x = 2,264.86 × 631.68
  4. Step 4: Simplify right side
    1,509.66x = 1,430,666.76
  5. Step 5: Solve for x
    x = 1,430,666.76/1,509.66
  6. Step 6: Final answer
    x = 947.67

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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.