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Finding the Fourth Proportional to 1,165.04, 1,746.98 and 374.30

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Solution

The fourth proportional to 1,165.04, 1,746.98 and 374.30 is: 561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.04 : 1,746.98 = 374.30 : x
  2. Step 2: Convert to fraction form
    1,165.04/1,746.98 = 374.30/x
  3. Step 3: Cross multiply
    1,165.04x = 1,746.98 × 374.30
  4. Step 4: Simplify right side
    1,165.04x = 653,894.61
  5. Step 5: Solve for x
    x = 653,894.61/1,165.04
  6. Step 6: Final answer
    x = 561.26

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1.5x scale

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.