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Finding the Fourth Proportional to 1,088.02, 1,501.48 and 590.66

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Solution

The fourth proportional to 1,088.02, 1,501.48 and 590.66 is: 815.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.02 : 1,501.48 = 590.66 : x
  2. Step 2: Convert to fraction form
    1,088.02/1,501.48 = 590.66/x
  3. Step 3: Cross multiply
    1,088.02x = 1,501.48 × 590.66
  4. Step 4: Simplify right side
    1,088.02x = 886,868.16
  5. Step 5: Solve for x
    x = 886,868.16/1,088.02
  6. Step 6: Final answer
    x = 815.12

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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.