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Finding the Fourth Proportional to 1,017.48, 1,526.80 and 647.30

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Solution

The fourth proportional to 1,017.48, 1,526.80 and 647.30 is: 971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.48 : 1,526.80 = 647.30 : x
  2. Step 2: Convert to fraction form
    1,017.48/1,526.80 = 647.30/x
  3. Step 3: Cross multiply
    1,017.48x = 1,526.80 × 647.30
  4. Step 4: Simplify right side
    1,017.48x = 988,297.64
  5. Step 5: Solve for x
    x = 988,297.64/1,017.48
  6. Step 6: Final answer
    x = 971.32

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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.