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Finding the Fourth Proportional to 1,165.04, 1,746.84 and 652.40

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Solution

The fourth proportional to 1,165.04, 1,746.84 and 652.40 is: 978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.04 : 1,746.84 = 652.40 : x
  2. Step 2: Convert to fraction form
    1,165.04/1,746.84 = 652.40/x
  3. Step 3: Cross multiply
    1,165.04x = 1,746.84 × 652.40
  4. Step 4: Simplify right side
    1,165.04x = 1,139,638.42
  5. Step 5: Solve for x
    x = 1,139,638.42/1,165.04
  6. Step 6: Final answer
    x = 978.20

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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.