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Finding the Fourth Proportional to 1,088.76, 1,501.68 and 695.50

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Solution

The fourth proportional to 1,088.76, 1,501.68 and 695.50 is: 959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.76 : 1,501.68 = 695.50 : x
  2. Step 2: Convert to fraction form
    1,088.76/1,501.68 = 695.50/x
  3. Step 3: Cross multiply
    1,088.76x = 1,501.68 × 695.50
  4. Step 4: Simplify right side
    1,088.76x = 1,044,418.44
  5. Step 5: Solve for x
    x = 1,044,418.44/1,088.76
  6. Step 6: Final answer
    x = 959.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.