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Finding the Fourth Proportional to 1,031.30, 1,537.16 and 972.92

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Solution

The fourth proportional to 1,031.30, 1,537.16 and 972.92 is: 1,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.30 : 1,537.16 = 972.92 : x
  2. Step 2: Convert to fraction form
    1,031.30/1,537.16 = 972.92/x
  3. Step 3: Cross multiply
    1,031.30x = 1,537.16 × 972.92
  4. Step 4: Simplify right side
    1,031.30x = 1,495,533.71
  5. Step 5: Solve for x
    x = 1,495,533.71/1,031.30
  6. Step 6: Final answer
    x = 1,450.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.