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Finding the Fourth Proportional to 1,070.40, 1,605.12 and 637.76

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Solution

The fourth proportional to 1,070.40, 1,605.12 and 637.76 is: 956.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.40 : 1,605.12 = 637.76 : x
  2. Step 2: Convert to fraction form
    1,070.40/1,605.12 = 637.76/x
  3. Step 3: Cross multiply
    1,070.40x = 1,605.12 × 637.76
  4. Step 4: Simplify right side
    1,070.40x = 1,023,681.33
  5. Step 5: Solve for x
    x = 1,023,681.33/1,070.40
  6. Step 6: Final answer
    x = 956.35

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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.